Differential geometry in the large: seminar lectures New York Univ. 1946 and Stanford Univ. 1956
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1989
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Lecture notes in mathematics
1000 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 184 S.: graph. Darst. |
| ISBN: | 354051497X 038751497X |
Internformat
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| 245 | 1 | 0 | |a Differential geometry in the large |b seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
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| 300 | |a VI, 184 S.: graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804120613666684928 |
|---|---|
| adam_text | TABLE OF CONTENTS PART ONE PAGE SELECTED TOPICS IN GEOMETRY 1 NEW YORK
UNIVERSITY 1946 NOTES BY PETER LAX CHAPTER I THE BULER CHARACTERISTIC
AND RELATED TOPICS 3 CHAPTER II SELECTED TOPICS IN ELEMENTARY
DIFFERENTIAL GEOMETRY 30 CHAPTER III THE ISOPERIMETRIC INEQUALITY AND
RELATED INEQUALITIES 47 CHAPTER IV THE ELEMENTARY CONCEPT OF AREA AND
VOLUME 58 PART TWO DIFFERENTIAL GEOMETRY IN THE LARGE 77 STANFORD
UNIVERSITY 1956 NOTES BY J.W. GRAY INTRODUCTION 81 CHAPTER I
DIFFERENTIAL GEOMETRY OF SURFACESIN THE SMALL 82 CHAPTER II SOME GENERAL
REMARKS ON CLOSED SURFACES IN DIFFERENTIAL GEOMETRY 100 CHAPTER III THE
TOTAL CURVATURE (CURVATURA INTEGRA) OF A CLOSED SURFACE WITH RIEMANNIAN
METRIC AND POINCAR6LS THEOREM ON THE SINGULARITIES OF FIELDS OF LINE
ELEMENTS 107 CHAPTER IV HADAMARD S CHARACTERIZATION OF THE OVALOIDS 119
CHAPTER V CLOSED SURFACES WITH CONSTANT GAUSS CURVATURE (HILBERT S
METHOD) - GENERALIZATIONS AND PROBLEMS - GENERAL REMARKS ON WEINGARTEN
SURFACES 123 CHAPTER VI GENERAL CLOSED SURFACES OF GENUS 0 WITH CONSTANT
MEAN CURVATURE - GENERALIZATIONS 136 CHAPTER VII SIMPLE CLOSED SURFACES
(OF ARBITRARY GENUS) WITH CONSTANT MEAN CURVATURE - GENERALIZATIONS 147
CHAPTER VIII THE CONGRUENCE THEOREM FOR OVALOIDS 163 CHAPTER IX
SINGULARITIES OF SUR,FACES WITH CONSTANT NEGATIVE GAUSS CURVATURE 174
|
| any_adam_object | 1 |
| author | Hopf, Heinz 1894-1971 |
| author_GND | (DE-588)118707000 |
| author_facet | Hopf, Heinz 1894-1971 |
| author_role | aut |
| author_sort | Hopf, Heinz 1894-1971 |
| author_variant | h h hh |
| building | Verbundindex |
| bvnumber | BV006366108 |
| classification_rvk | SI 850 SK 370 |
| classification_tum | MAT 537f |
| ctrlnum | (OCoLC)320294098 (DE-599)BVBBV006366108 |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV006366108 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:44:52Z |
| institution | BVB |
| isbn | 354051497X 038751497X |
| language | English |
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| physical | VI, 184 S.: graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Hopf, Heinz 1894-1971 Verfasser (DE-588)118707000 aut Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 2. ed. Berlin u.a. Springer 1989 VI, 184 S.: graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1000 Globale Differentialgeometrie (DE-588)4021286-5 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Globale Differentialgeometrie (DE-588)4021286-5 s DE-604 Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 Lecture notes in mathematics 1000 (DE-604)BV000676446 1000 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004029632&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hopf, Heinz 1894-1971 Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 Lecture notes in mathematics Globale Differentialgeometrie (DE-588)4021286-5 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4021286-5 (DE-588)4012248-7 (DE-588)4143413-4 |
| title | Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| title_auth | Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| title_exact_search | Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| title_full | Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| title_fullStr | Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| title_full_unstemmed | Differential geometry in the large seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| title_short | Differential geometry in the large |
| title_sort | differential geometry in the large seminar lectures new york univ 1946 and stanford univ 1956 |
| title_sub | seminar lectures New York Univ. 1946 and Stanford Univ. 1956 |
| topic | Globale Differentialgeometrie (DE-588)4021286-5 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Globale Differentialgeometrie Differentialgeometrie Aufsatzsammlung |
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