Minimal surfaces in Riemannian manifolds:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, RI
American Math. Soc.
1993
|
Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
495 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Volume 104, Number 495 (second of 6 numbers) |
Beschreibung: | VI, 50 S. |
ISBN: | 0821825607 |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV008166439 | ||
003 | DE-604 | ||
005 | 20230614 | ||
007 | t | ||
008 | 930811s1993 |||| 00||| eng d | ||
020 | |a 0821825607 |9 0-8218-2560-7 | ||
035 | |a (OCoLC)27897036 | ||
035 | |a (DE-599)BVBBV008166439 | ||
040 | |a DE-604 |b ger |e rakddb | ||
041 | 0 | |a eng | |
049 | |a DE-355 |a DE-384 |a DE-12 |a DE-739 |a DE-29T |a DE-91G |a DE-824 |a DE-19 |a DE-83 |a DE-188 | ||
050 | 0 | |a QA3 | |
082 | 0 | |a 510 |2 20 | |
082 | 0 | |a 516.3/73 |2 20 | |
084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
084 | |a MAT 498f |2 stub | ||
100 | 1 | |a Ji, Min |d 1960- |e Verfasser |0 (DE-588)172601630 |4 aut | |
245 | 1 | 0 | |a Minimal surfaces in Riemannian manifolds |c Min Ji ; Guang Yin Wang |
264 | 1 | |a Providence, RI |b American Math. Soc. |c 1993 | |
300 | |a VI, 50 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 495 | |
500 | |a Volume 104, Number 495 (second of 6 numbers) | ||
650 | 7 | |a Geometria Diferencial |2 larpcal | |
650 | 7 | |a Riemann-vlakken |2 gtt | |
650 | 4 | |a Minimal surfaces | |
650 | 4 | |a Riemannian manifolds | |
650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Minimalfläche |0 (DE-588)4127814-8 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Minimalfläche |0 (DE-588)4127814-8 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
689 | 1 | |5 DE-604 | |
689 | 2 | 0 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
689 | 2 | 1 | |a Minimalfläche |0 (DE-588)4127814-8 |D s |
689 | 2 | |5 DE-604 | |
700 | 1 | |a Wang, Guangyin |d 1926- |e Verfasser |0 (DE-588)172601649 |4 aut | |
830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 495 |w (DE-604)BV008000141 |9 495 | |
856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005388504&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-005388504 |
Datensatz im Suchindex
_version_ | 1804122549508898816 |
---|---|
adam_text | Contents
Introduction 1
0. Preliminaries 4
0.1. Spaces of maps 4
0.2. Pseudo gradient vector field, pseudo gradient flow
and deformation lemma 7
1. Compactness and regularity 8
1.1. Some inequalities 8
1.2. Compactness and regularity 12
2. A priori estimates 22
2.1. Statement of the estimate 22
2.2. Variation with respect to the conformal group 22
2.3. Blow up analysis 24
2.3a. Blow up analysis in the interior 26
2.3b. A uniqueness theorem 27
2.3c. Blow up analysis near the boundary 28
2.4. Establishing the main estimate 33
3. Conformality and deformation lemmas for E 35
3.1. Conformality 35
3.2. Perturbation method 36
4. Mountain Pass Solution 37
5. A minimax principle 39
5.1. A new index and its properties 39
5.2. Continuity and stronger continuity 40
5.3. Multiple solution theorem for minimal surfaces 43
5.4. An application to Sn 47
References 49
|
any_adam_object | 1 |
author | Ji, Min 1960- Wang, Guangyin 1926- |
author_GND | (DE-588)172601630 (DE-588)172601649 |
author_facet | Ji, Min 1960- Wang, Guangyin 1926- |
author_role | aut aut |
author_sort | Ji, Min 1960- |
author_variant | m j mj g w gw |
building | Verbundindex |
bvnumber | BV008166439 |
callnumber-first | Q - Science |
callnumber-label | QA3 |
callnumber-raw | QA3 |
callnumber-search | QA3 |
callnumber-sort | QA 13 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 130 |
classification_tum | MAT 498f |
ctrlnum | (OCoLC)27897036 (DE-599)BVBBV008166439 |
dewey-full | 510 516.3/73 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics 516 - Geometry |
dewey-raw | 510 516.3/73 |
dewey-search | 510 516.3/73 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02124nam a2200529 cb4500</leader><controlfield tag="001">BV008166439</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230614 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930811s1993 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821825607</subfield><subfield code="9">0-8218-2560-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)27897036</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008166439</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/73</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 498f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ji, Min</subfield><subfield code="d">1960-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172601630</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Minimal surfaces in Riemannian manifolds</subfield><subfield code="c">Min Ji ; Guang Yin Wang</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 50 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">495</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 104, Number 495 (second of 6 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometria Diferencial</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Riemann-vlakken</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Minimal surfaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Riemannian manifolds</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Minimalfläche</subfield><subfield code="0">(DE-588)4127814-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Minimalfläche</subfield><subfield code="0">(DE-588)4127814-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Minimalfläche</subfield><subfield code="0">(DE-588)4127814-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Guangyin</subfield><subfield code="d">1926-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172601649</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">495</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">495</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005388504&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-005388504</subfield></datafield></record></collection> |
id | DE-604.BV008166439 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T17:15:39Z |
institution | BVB |
isbn | 0821825607 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005388504 |
oclc_num | 27897036 |
open_access_boolean | |
owner | DE-355 DE-BY-UBR DE-384 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-824 DE-19 DE-BY-UBM DE-83 DE-188 |
owner_facet | DE-355 DE-BY-UBR DE-384 DE-12 DE-739 DE-29T DE-91G DE-BY-TUM DE-824 DE-19 DE-BY-UBM DE-83 DE-188 |
physical | VI, 50 S. |
publishDate | 1993 |
publishDateSearch | 1993 |
publishDateSort | 1993 |
publisher | American Math. Soc. |
record_format | marc |
series | American Mathematical Society: Memoirs of the American Mathematical Society |
series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
spelling | Ji, Min 1960- Verfasser (DE-588)172601630 aut Minimal surfaces in Riemannian manifolds Min Ji ; Guang Yin Wang Providence, RI American Math. Soc. 1993 VI, 50 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 495 Volume 104, Number 495 (second of 6 numbers) Geometria Diferencial larpcal Riemann-vlakken gtt Minimal surfaces Riemannian manifolds Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Minimalfläche (DE-588)4127814-8 gnd rswk-swf Minimalfläche (DE-588)4127814-8 s DE-604 Riemannscher Raum (DE-588)4128295-4 s Wang, Guangyin 1926- Verfasser (DE-588)172601649 aut American Mathematical Society: Memoirs of the American Mathematical Society 495 (DE-604)BV008000141 495 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005388504&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Ji, Min 1960- Wang, Guangyin 1926- Minimal surfaces in Riemannian manifolds American Mathematical Society: Memoirs of the American Mathematical Society Geometria Diferencial larpcal Riemann-vlakken gtt Minimal surfaces Riemannian manifolds Riemannscher Raum (DE-588)4128295-4 gnd Minimalfläche (DE-588)4127814-8 gnd |
subject_GND | (DE-588)4128295-4 (DE-588)4127814-8 |
title | Minimal surfaces in Riemannian manifolds |
title_auth | Minimal surfaces in Riemannian manifolds |
title_exact_search | Minimal surfaces in Riemannian manifolds |
title_full | Minimal surfaces in Riemannian manifolds Min Ji ; Guang Yin Wang |
title_fullStr | Minimal surfaces in Riemannian manifolds Min Ji ; Guang Yin Wang |
title_full_unstemmed | Minimal surfaces in Riemannian manifolds Min Ji ; Guang Yin Wang |
title_short | Minimal surfaces in Riemannian manifolds |
title_sort | minimal surfaces in riemannian manifolds |
topic | Geometria Diferencial larpcal Riemann-vlakken gtt Minimal surfaces Riemannian manifolds Riemannscher Raum (DE-588)4128295-4 gnd Minimalfläche (DE-588)4127814-8 gnd |
topic_facet | Geometria Diferencial Riemann-vlakken Minimal surfaces Riemannian manifolds Riemannscher Raum Minimalfläche |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005388504&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT jimin minimalsurfacesinriemannianmanifolds AT wangguangyin minimalsurfacesinriemannianmanifolds |