Surfaces with constant mean curvature:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2003
|
| Schriftenreihe: | Translations of mathematical monographs
221 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 142 S. Ill. |
| ISBN: | 0821834797 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804130195761790976 |
|---|---|
| adam_text | TRANSLATIONS OF MATHEMATICAL MONOGRAPHS VOLUME 221 SURFACES WITH
CONSTANT MEAN CURVATURE KATSUEI KENMOTSU TRANSLATED BY KATSUHLRO MORIYA
SUB GOTTINGEN 210 207 108 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE,
RHODE ISLAND CONTENTS FOREWORD V CHAPTER 1. PRELIMINARIES FROM THE
THEORY OF SURFACES 1 1.1. LOCAL SURFACES 1 1.2. THE FUNDAMENTAL THEOREM
11 1.3. MOVING FRAMES 16 1.4. ISOTHERMAL PARAMETERS 19 CHAPTER 2. MEAN
CURVATURE 25 2.1. INEQUALITIES 25 2.2. THE AREA FUNCTIONAL 26 2.3. MEAN
CURVATURE OF FREE SURFACE INTERFACE 33 2.4. CONSTANT MEAN CURVATURE
SURFACES ON WEB SITES 35 CHAPTER 3. ROTATIONAL SURFACES 39 3.1.
GENERATING CURVES 39 3.2. UNDULOIDS AND NODOIDS 41 CHAPTER 4. HELICOIDAL
SURFACES 53 4.1. HELICOIDAL MOTIONS 53 4.2. HELICOIDAL SURFACES OF
CONSTANT MEAN CURVATURE 56 CHAPTER 5. STABILITY 63 5.1. SMOOTH SURFACES
63 5.2. CHARACTERIZATION OF A SPHERE 68 CHAPTER 6. TORI 75 6.1. THE
SINH-GORDON EQUATION 75 6.2. PERIODICITY 78 CHAPTER 7. THE BALANCING
FORMULA 83 7.1. THE WEIGHT VECTOR 83 7.2. AREA GROWTH 90 X CONTENTS 7.3.
THE HEIGHT 2 LEMMA 92 CHAPTER 8. THE GAUSS MAP 97 8.1. VALUE
DISTRIBUTION 97 8.2. HARMONIC MAPS 99 8.3. A REPRESENTATION FORMULA 102
CHAPTER 9. INTRICATE CONSTANT MEAN CURVATURE SURFACES 109 9.1. THE
PLATEAU PROBLEM 109 9.2. KAPOULEAS SURFACES 113 9.3. DISCRETE CONSTANT
MEAN CURVATURE SURFACES 114 9.4. SURFACE CORRESPONDENCE 116 APPENDIX A.
SUPPLEMENT 121 A.I. THE THEOREM OF BERNSTEIN 121 A.2. THE GAUSS-BONNET
THEOREM 121 A.3. THE CALCULATION FOR EQUATIONS (6.6) 122 A.4. THE COAREA
FORMULA 123 A.5. ELLIPTIC PARTIAL DIFFERENTIAL INEQUALITIES 124 A.6. THE
ALEXANDROV REFLECTION TECHNIQUE 125 A.7. FISCHER-COLBRIE AND SCHOEN S
THEOREM 126 APPENDIX B. PROGRAMS FOR THE FIGURES 127 POSTSCRIPT * 133
BIBLIOGRAPHY 137 LIST OF SOURCES FOR THE FIGURES 139 INDEX 141
|
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| id | DE-604.BV017367142 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:17:11Z |
| institution | BVB |
| isbn | 0821834797 |
| language | English Japanese |
| lccn | 2003059522 |
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| oclc_num | 52687931 |
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| physical | X, 142 S. Ill. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Kenmotsu, Katsuei Verfasser aut Kyokumenron kōgi Surfaces with constant mean curvature Katsuei Kenmotsu ; translated by Katsuhiro Moriya Providence, R.I. American Mathematical Society 2003 X, 142 S. Ill. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 221 Includes bibliographical references and index Curvatura constante larpcal Geometria diferencial larpcal Curvature Geometry, Differential Minimal surfaces Krümmung (DE-588)4128765-4 gnd rswk-swf Minimalfläche (DE-588)4127814-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Minimalfläche (DE-588)4127814-8 s Krümmung (DE-588)4128765-4 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Translations of mathematical monographs 221 (DE-604)BV000002394 221 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467312&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kenmotsu, Katsuei Surfaces with constant mean curvature Translations of mathematical monographs Curvatura constante larpcal Geometria diferencial larpcal Curvature Geometry, Differential Minimal surfaces Krümmung (DE-588)4128765-4 gnd Minimalfläche (DE-588)4127814-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4128765-4 (DE-588)4127814-8 (DE-588)4012248-7 |
| title | Surfaces with constant mean curvature |
| title_alt | Kyokumenron kōgi |
| title_auth | Surfaces with constant mean curvature |
| title_exact_search | Surfaces with constant mean curvature |
| title_full | Surfaces with constant mean curvature Katsuei Kenmotsu ; translated by Katsuhiro Moriya |
| title_fullStr | Surfaces with constant mean curvature Katsuei Kenmotsu ; translated by Katsuhiro Moriya |
| title_full_unstemmed | Surfaces with constant mean curvature Katsuei Kenmotsu ; translated by Katsuhiro Moriya |
| title_short | Surfaces with constant mean curvature |
| title_sort | surfaces with constant mean curvature |
| topic | Curvatura constante larpcal Geometria diferencial larpcal Curvature Geometry, Differential Minimal surfaces Krümmung (DE-588)4128765-4 gnd Minimalfläche (DE-588)4127814-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Curvatura constante Geometria diferencial Curvature Geometry, Differential Minimal surfaces Krümmung Minimalfläche Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467312&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT kenmotsukatsuei kyokumenronkogi AT kenmotsukatsuei surfaceswithconstantmeancurvature |