Constant mean curvature surfaces with boundary:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783642396250 9783642396267 |
| DOI: | 10.1007/978-3-642-39626-7 |
Staff View
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Record in the Search Index
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| adam_text | CONSTANT MEAN CURVATURE SURFACES WITH BOUNDARY
/ LOPEZ, RAFAEL
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
SURFACES WITH CONSTANT MEAN CURVATURE
CONSTANT MEAN CURVATURE EMBEDDED SURFACES
THE FLUX FORMULA FOR CONSTANT MEAN CURVATURE SURFACES
THE AREA AND THE VOLUME OF A CONSTANT MEAN CURVATURE SURFACE
CONSTANT MEAN CURVATURE DISCS WITH CIRCULAR BOUNDARY
THE DIRICHLET PROBLEM OF THE CMC EQUATION
THE DIRICHLET PROBLEM IN UNBOUNDED DOMAINS
CONSTANT MEAN CURVATURE SURFACES IN HYPERBOLIC SPACE
THE DIRICHLET PROBLEM IN HYPERBOLIC SPACE
CONSTANT MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI SPACE
APPENDIX: A. THE VARIATION FORMULA OF THE AREA AND THE VOLUME
B. OPEN QUESTIONS
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
CONSTANT MEAN CURVATURE SURFACES WITH BOUNDARY
/ LOPEZ, RAFAEL
: 2013
ABSTRACT / INHALTSTEXT
THE STUDY OF SURFACES WITH CONSTANT MEAN CURVATURE (CMC) IS ONE OF THE
MAIN TOPICS IN CLASSICAL DIFFERENTIAL GEOMETRY. MOREOVER, CMC SURFACES
ARE IMPORTANT MATHEMATICAL MODELS FOR THE PHYSICS OF INTERFACES IN THE
ABSENCE OF GRAVITY, WHERE THEY SEPARATE TWO DIFFERENT MEDIA, OR FOR
CAPILLARY PHENOMENA. FURTHER, AS MOST TECHNIQUES USED IN THE THEORY OF
CMC SURFACES NOT ONLY INVOLVE GEOMETRIC METHODS BUT ALSO PDE AND COMPLEX
ANALYSIS, THE THEORY IS ALSO OF GREAT INTEREST FOR MANY OTHER
MATHEMATICAL FIELDS. WHILE MINIMAL SURFACES AND CMC SURFACES IN
GENERAL HAVE ALREADY BEEN TREATED IN THE LITERATURE, THE PRESENT WORK IS
THE FIRST TO PRESENT A COMPREHENSIVE STUDY OF “COMPACT SURFACES WITH
BOUNDARIES,” NARROWING ITS FOCUS TO A GEOMETRIC VIEW. BASIC ISSUES
INCLUDE THE DISCUSSION WHETHER THE SYMMETRIES OF THE CURVE INHERIT TO
THE SURFACE; THE POSSIBLE VALUES OF THE MEAN CURVATURE, AREA AND VOLUME;
STABILITY; THE CIRCULAR BOUNDARY CASE; AND THE EXISTENCE OF THE PLATEAU
PROBLEM IN THE NON-PARAMETRIC CASE. THE EXPOSITION PROVIDES AN OUTLOOK
ON RECENT RESEARCH BUT ALSO A SET OF TECHNIQUES THAT ALLOWS THE RESULTS
TO BE EXPANDED TO OTHER AMBIENT SPACES. THROUGHOUT THE TEXT, NUMEROUS
ILLUSTRATIONS CLARIFY THE RESULTS AND THEIR PROOFS. THE BOOK IS
INTENDED FOR GRADUATE STUDENTS AND RESEARCHERS IN THE FIELD OF
DIFFERENTIAL GEOMETRY AND ESPECIALLY THEORY OF SURFACES, INCLUDING
GEOMETRIC ANALYSIS AND GEOMETRIC PDES. IT GUIDES READERS UP TO THE
STATE-OF-THE-ART OF THE THEORY AND INTRODUCES THEM TO INTERESTING OPEN
PROBLEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | López, Rafael |
| author_facet | López, Rafael |
| author_role | aut |
| author_sort | López, Rafael |
| author_variant | r l rl |
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| dewey-full | 610 |
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| dewey-ones | 610 - Medicine and health |
| dewey-raw | 610 |
| dewey-search | 610 |
| dewey-sort | 3610 |
| dewey-tens | 610 - Medicine and health |
| discipline | Mathematik Medizin |
| doi_str_mv | 10.1007/978-3-642-39626-7 |
| format | Electronic eBook |
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| spelling | López, Rafael Verfasser aut Constant mean curvature surfaces with boundary Rafael López Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics Fläche (DE-588)4129864-0 gnd rswk-swf Konstante mittlere Krümmung (DE-588)4235957-0 gnd rswk-swf Fläche (DE-588)4129864-0 s Konstante mittlere Krümmung (DE-588)4235957-0 s DE-604 https://doi.org/10.1007/978-3-642-39626-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826504&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826504&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | López, Rafael Constant mean curvature surfaces with boundary Fläche (DE-588)4129864-0 gnd Konstante mittlere Krümmung (DE-588)4235957-0 gnd |
| subject_GND | (DE-588)4129864-0 (DE-588)4235957-0 |
| title | Constant mean curvature surfaces with boundary |
| title_auth | Constant mean curvature surfaces with boundary |
| title_exact_search | Constant mean curvature surfaces with boundary |
| title_full | Constant mean curvature surfaces with boundary Rafael López |
| title_fullStr | Constant mean curvature surfaces with boundary Rafael López |
| title_full_unstemmed | Constant mean curvature surfaces with boundary Rafael López |
| title_short | Constant mean curvature surfaces with boundary |
| title_sort | constant mean curvature surfaces with boundary |
| topic | Fläche (DE-588)4129864-0 gnd Konstante mittlere Krümmung (DE-588)4235957-0 gnd |
| topic_facet | Fläche Konstante mittlere Krümmung |
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