Coulomb frames in the normal bundle of surfaces in Euclidean spaces: topics from differential geometry and geometric analysis of surfaces
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2012
|
| Schriftenreihe: | Lecture notes in mathematics
2053 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XIV, 117 S. 235 mm x 155 mm |
| ISBN: | 9783642298455 3642298451 9783642298462 |
Internformat
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2012 | |
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Datensatz im Suchindex
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| adam_text |
IMAGE 1
CONTENTS
1 SURFACE GEOMETRY 1
1.1 REGULAR SURFACES 1
1.2 EXAMPLES 3
1.3 THE FUNDAMENTAL FORMS 6
1.4 DIFFERENTIAL EQUATIONS 10
1.5 INTEGRABILITY CONDITIONS 14
1.6 THE CURVATURE OF THE NORMAL BUNDLE 2 0
2 ELLIPTIC SYSTEMS 31
2.1 THE MEAN CURVATURE VECTOR 31
2.2 CURVATURE ESTIMATES 36
3 NORMAL COULOMB FRAMES IN R 4 5 3
3.1 TORSION-FREE NORMAL FRAMES FOR CURVES AND SURFACES 53
3.2 NORMAL COULOMB FRAMES 59
3.3 CONSTRUCTING NORMAL COULOMB FRAMES, AND THEIR PROPERTIES 61 3.4
ESTIMATING THE TORSIONS O F NORMAL COULOMB FRAMES 63
3.5 AN EXAMPLE: HOLOMORPHIC GRAPHS 72
4 NORMAL COULOMB FRAMES IN M " + 2 7 5
4.1 PROBLEM FORMULATION 75
4.2 THE EULER-LAGRANGE EQUATIONS 76
4.3 EXAMPLES 80
4.4 QUADRATIC GROWTH IN THE GRADIENT 81
4.5 TORSION-FREE NORMAL FRAMES 83
4.6 NON-FLAT NORMAL BUNDLES 87
4.7 BOUNDS FOR THE TOTAL TORSION 9 0
4.8 EXISTENCE AND REGULARITY O F WEAK NORMAL COULOMB FRAMES 92
4.9 CLASSICAL REGULARITY O F NORMAL COULOMB FRAMES 103
X I
HTTP://D-NB.INFO/1021362379
IMAGE 2
XII C O N T E N T S
REFERENCES 107
LIST O F NAMES 113
INDEX 115 |
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| author | Fröhlich, Steffen 1973- |
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| bvnumber | BV040384788 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)809158716 (DE-599)DNB1021362379 |
| dewey-full | 510 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516.36 |
| dewey-search | 510 516.36 |
| dewey-sort | 3510 |
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| discipline | Mathematik |
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| isbn | 9783642298455 3642298451 9783642298462 |
| language | English |
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| physical | XIV, 117 S. 235 mm x 155 mm |
| publishDate | 2012 |
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| publisher | Springer |
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| series2 | Lecture notes in mathematics |
| spelling | Fröhlich, Steffen 1973- Verfasser (DE-588)123308089 aut Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces Steffen Fröhlich Berlin [u.a.] Springer 2012 XIV, 117 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2053 Euklidischer Raum (DE-588)4309127-1 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Frame Mathematik (DE-588)4528312-6 gnd rswk-swf Euklidischer Raum (DE-588)4309127-1 s Fläche (DE-588)4129864-0 s Frame Mathematik (DE-588)4528312-6 s DE-604 Erscheint auch als Online-Ausgabe Fröhlich, Steffen Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces Lecture notes in mathematics 2053 (DE-604)BV000676446 2053 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4004394&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025238241&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fröhlich, Steffen 1973- Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces Lecture notes in mathematics Euklidischer Raum (DE-588)4309127-1 gnd Fläche (DE-588)4129864-0 gnd Frame Mathematik (DE-588)4528312-6 gnd |
| subject_GND | (DE-588)4309127-1 (DE-588)4129864-0 (DE-588)4528312-6 |
| title | Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces |
| title_auth | Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces |
| title_exact_search | Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces |
| title_full | Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces Steffen Fröhlich |
| title_fullStr | Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces Steffen Fröhlich |
| title_full_unstemmed | Coulomb frames in the normal bundle of surfaces in Euclidean spaces topics from differential geometry and geometric analysis of surfaces Steffen Fröhlich |
| title_short | Coulomb frames in the normal bundle of surfaces in Euclidean spaces |
| title_sort | coulomb frames in the normal bundle of surfaces in euclidean spaces topics from differential geometry and geometric analysis of surfaces |
| title_sub | topics from differential geometry and geometric analysis of surfaces |
| topic | Euklidischer Raum (DE-588)4309127-1 gnd Fläche (DE-588)4129864-0 gnd Frame Mathematik (DE-588)4528312-6 gnd |
| topic_facet | Euklidischer Raum Fläche Frame Mathematik |
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