Differential geometry of lightlike submanifolds:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2010
|
| Series: | Frontiers in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 475 S. |
| ISBN: | 9783034602501 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV025599514 | ||
| 003 | DE-604 | ||
| 005 | 20111011 | ||
| 007 | t | ||
| 008 | 100417s2010 |||| 00||| eng d | ||
| 016 | 7 | |a 996813667 |2 DE-101 | |
| 020 | |a 9783034602501 |9 978-3-0346-0250-1 | ||
| 035 | |a (OCoLC)699528911 | ||
| 035 | |a (DE-599)BVBBV025599514 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 |a DE-83 |a DE-19 |a DE-824 |a DE-188 | ||
| 082 | 0 | |a 516.362 |2 22/ger | |
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 084 | |a 53B25 |2 msc | ||
| 100 | 1 | |a Duggal, Krishan L. |d 1929- |e Verfasser |0 (DE-588)140382240 |4 aut | |
| 245 | 1 | 0 | |a Differential geometry of lightlike submanifolds |c Krishan L. Duggal ; Bayram Sahin |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2010 | |
| 300 | |a XII, 475 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Frontiers in mathematics | |
| 650 | 0 | 7 | |a Pseudo-Riemannscher Raum |0 (DE-588)4176163-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Untermannigfaltigkeit |0 (DE-588)4128503-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgeometrie |0 (DE-588)4012248-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
| 689 | 0 | 1 | |a Untermannigfaltigkeit |0 (DE-588)4128503-7 |D s |
| 689 | 0 | 2 | |a Pseudo-Riemannscher Raum |0 (DE-588)4176163-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Sahin, Bayram |e Verfasser |0 (DE-588)140482245 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-0346-0251-8 |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020195106 | ||
Record in the Search Index
| _version_ | 1804142782893260800 |
|---|---|
| adam_text | CONTENTS PREFACE VII NOTATION XI 1 PRELIMINARIES 1 1.1 SEMI-EUCLIDEAN
SPACES 1 1.2 SEMI-RIEMANNIAN MANIFOLDS 9 1.3 WARPED PRODUCT MANIFOLDS 22
1.4 LIGHTLIKE MANIFOLDS 30 2 LIGHTLIKE HYPERSURFACES 41 2.1 BASIC
GENERAL RESULTS 42 2.2 SCREEN CONFORMAI HYPERSURFACES 51 2.3 UNIQUE
EXISTENCE OF SCREEN DISTRIBUTIONS 57 2.4 INDUCED SCALAR CURVATURE G5 2.5
LIGHTLIKE EINSTEIN HYPERSURFACES 75 2.G SEMI-SYMMETRIC HYPERSURFACES 85
3 APPLICATIONS OF LIGHTLIKE HYPERSURFACES 97 3.1 GLOBAL NULL SPLITTING
THEOREM 97 3.2 KILLING HORIZONS 107 3.3 DYNAMICAL HORIZONS 115 3.4
CONFORMAI KILLING HORIZONS 124 3.5 DIFFERENTIAL OPERATORS ON
HYPERSURFACES 132 3.G OSSENNAN LIGHTLIKE HYPERSURFACES 142 4
HALF-LIGHTLIKE SUBMANIFOLDS 157 4.1 BASIC GENERAL RESULTS 157 4.2 UNIQUE
EXISTENCE OF SCREEN DISTRIBUTIONS 1G5 4.3 TOTALLY UMBILICAL SUBMANIFOLDS
1G9 4.4 SCREEN CONFORMAI SUBMANIFOLDS 179 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/996813667 DIGITALISIERT DURCH VI CONTENTS 5 LIGHTLIKE
SUBMANIFOLDS 191 5.1 THE INDUCED GEOMETRIC OBJECTS 191 5.2 UNIQUE SCREEN
DISTRIBUTIONS 201 5.3 TOTALLY UMBILICAL SUBMANIFOLDS 214 5.4 MINIMAL
LIGHTLIKE SUBMANIFOLDS 220 5.5 WARPED PRODUCT LIGHTLIKE SUBMANIFOLDS 225
6 SUBMANIFOLDS OF INDEFINITE KAHLER MANIFOLDS 231 6.1 INTRODUCTION 231
6.2 INVARIANT LIGHTLIKE SUBMANIFOLDS 242 6.3 SCREEN REAL SUBMANIFOLDS
250 6.4 SCREEN CR-LIGHTLIKE SUBMANIFOLDS 255 6.5 GENERALIZED
CR-LIGHTLIKE SUBMANIFOLDS 268 6.6 TOTALLY REAL LIGHTLIKE SUBMANIFOLDS
280 6.7 SLANT LIGHTLIKE SUBMANIFOLDS 284 6.8 SCREEN SLANT LIGHTLIKE
SUBMANIFOLDS 293 7 SUBMANIFOLDS OF INDEFINITE SASAKIAN MANIFOLDS 305 7.1
INTRODUCTION 305 7.2 LIGHTLIKE HYPERSURFACES 313 7.3 INVARIANT
SUBMANIFOLDS 318 7.4 CONTACT CR-LIGHTLIKE SUBMANIFOLDS 321 7.5 CONTACT
SCR-LIGHTLIKE SUBMANIFOLDS 326 7.6 GENERALIZED CONTACT CR-LIGHTLIKE
SUBMANIFOLDS 334 8 SUBMANIFOLDS OF INDEFINITE QUATERNION KAHLER
MANIFOLDS 347 8.1 INTRODUCTION 347 8.2 LIGHTLIKE HYPERSURFACES 360 8.3
SCREEN REAL SUBMANIFOLDS 366 8.4 QR-LIGHTLIKE SUBMANIFOLDS 372 8.5
SCREEN QR-LIGHTLIKE SUBMANIFOLDS 384 8.6 SCREEN CR-LIGHTLIKE
SUBMANIFOLDS 391 9 APPLICATIONS OF LIGHTLIKE GEOMETRY 397 9.1 NULL
2-SURFACES OF SPACETIMES 397 9.2 HARMONIC MAPS AND MORPHISMS 407 9.
|
| any_adam_object | 1 |
| author | Duggal, Krishan L. 1929- Sahin, Bayram |
| author_GND | (DE-588)140382240 (DE-588)140482245 |
| author_facet | Duggal, Krishan L. 1929- Sahin, Bayram |
| author_role | aut aut |
| author_sort | Duggal, Krishan L. 1929- |
| author_variant | k l d kl kld b s bs |
| building | Verbundindex |
| bvnumber | BV025599514 |
| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)699528911 (DE-599)BVBBV025599514 |
| dewey-full | 516.362 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.362 |
| dewey-search | 516.362 |
| dewey-sort | 3516.362 |
| 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>01798nam a2200445 c 4500</leader><controlfield tag="001">BV025599514</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20111011 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100417s2010 |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">996813667</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034602501</subfield><subfield code="9">978-3-0346-0250-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)699528911</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV025599514</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.362</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53B25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Duggal, Krishan L.</subfield><subfield code="d">1929-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140382240</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Differential geometry of lightlike submanifolds</subfield><subfield code="c">Krishan L. Duggal ; Bayram Sahin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 475 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="0" ind2=" "><subfield code="a">Frontiers in mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Pseudo-Riemannscher Raum</subfield><subfield code="0">(DE-588)4176163-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Untermannigfaltigkeit</subfield><subfield code="0">(DE-588)4128503-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Untermannigfaltigkeit</subfield><subfield code="0">(DE-588)4128503-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Pseudo-Riemannscher Raum</subfield><subfield code="0">(DE-588)4176163-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sahin, Bayram</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140482245</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-0346-0251-8</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=020195106&sequence=000001&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:BVB01-020195106</subfield></datafield></record></collection> |
| id | DE-604.BV025599514 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:37:15Z |
| institution | BVB |
| isbn | 9783034602501 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020195106 |
| oclc_num | 699528911 |
| open_access_boolean | |
| owner | DE-11 DE-83 DE-19 DE-BY-UBM DE-824 DE-188 |
| owner_facet | DE-11 DE-83 DE-19 DE-BY-UBM DE-824 DE-188 |
| physical | XII, 475 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Frontiers in mathematics |
| spelling | Duggal, Krishan L. 1929- Verfasser (DE-588)140382240 aut Differential geometry of lightlike submanifolds Krishan L. Duggal ; Bayram Sahin Basel [u.a.] Birkhäuser 2010 XII, 475 S. txt rdacontent n rdamedia nc rdacarrier Frontiers in mathematics Pseudo-Riemannscher Raum (DE-588)4176163-7 gnd rswk-swf Untermannigfaltigkeit (DE-588)4128503-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s Untermannigfaltigkeit (DE-588)4128503-7 s Pseudo-Riemannscher Raum (DE-588)4176163-7 s DE-604 Sahin, Bayram Verfasser (DE-588)140482245 aut Erscheint auch als Online-Ausgabe 978-3-0346-0251-8 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Duggal, Krishan L. 1929- Sahin, Bayram Differential geometry of lightlike submanifolds Pseudo-Riemannscher Raum (DE-588)4176163-7 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4176163-7 (DE-588)4128503-7 (DE-588)4012248-7 |
| title | Differential geometry of lightlike submanifolds |
| title_auth | Differential geometry of lightlike submanifolds |
| title_exact_search | Differential geometry of lightlike submanifolds |
| title_full | Differential geometry of lightlike submanifolds Krishan L. Duggal ; Bayram Sahin |
| title_fullStr | Differential geometry of lightlike submanifolds Krishan L. Duggal ; Bayram Sahin |
| title_full_unstemmed | Differential geometry of lightlike submanifolds Krishan L. Duggal ; Bayram Sahin |
| title_short | Differential geometry of lightlike submanifolds |
| title_sort | differential geometry of lightlike submanifolds |
| topic | Pseudo-Riemannscher Raum (DE-588)4176163-7 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Pseudo-Riemannscher Raum Untermannigfaltigkeit Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020195106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT duggalkrishanl differentialgeometryoflightlikesubmanifolds AT sahinbayram differentialgeometryoflightlikesubmanifolds |