Global Riemannian geometry: curvature and topology:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2003
|
| Series: | Advanced courses in mathematics, CRM Barcelona
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 87 S. Ill. |
| ISBN: | 3764321709 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1826212280152358912 |
|---|---|
| adam_text |
ST
EE
N
MA
R
KVO
RSE
N
MAUNG MIN-OO
GLOBA
I
RIEMANNIAN GEOMETRY:
CURVATURE AND TOPOLOGY
B
I
R
K
H
A
USER VE
R
I
A
G
BASEL
BOSTON
BERLIN
CONTENTS
DISTANCE GEOMETRIC ANALYSIS
ON
MANIFOLDS
STEEN MARKVORSEN
1
APPETIZER AND INTRODUCTION,
.
.
1
1
.
2
2
3
4
CONCERNING THE SETTING AND NOTATION
.
THE COMPARISON SETTING AND PRELIMINARIES
.
ANALYSIS OF RESTRICTED DISTANCE FUNCTIONS
.
5
GREEN'S FORMULAE AND THE CO-AREA FORMULA.
. .
.12
THE FIRST DIRICHLET EIGENVALUE COMPARISON THEOREM
.
13
7
ISOPERIMETRIC RELATIONS
.
.
.18
7.1 PRELIMINARY ANALYSIS
.
.
19
7.2
A
CONSEQUENCE OF THE CO-AREA FOR
.
19
THE FUNDAMENTAL DIFFERENTIAL EQUATION.
.
.20
7.4 ISOPERIMETRIC COMPARISON.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.21
8 MEAN EXIT TIME COMPARISON
.
.
.
.
.
.
.
.
.
.
25
9 CAPACITY COMPARISON.
.
.
.
.
.
.
.
.
.
.
.
.27
THE KELVIN --NEVANLINNA-ROYDEN CRITERIA FOR TRANSIENCE
.
.31
11 SURFACES OF REVOLUTION
.
.
.
.
.
.
.
.
.
.
.
.34
12 WARPED PRODUCTS.
.
.
.37
ANSWERING THE QUESTIONS IN THE APPETIZER
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
14
A
SUFFICIENT CONDITION FOR HYPERBOLICITY
.
.
.
.
.
.
.
.
.
.41
15
GRAPHS AND FLOWS.
.
.
16 SCHERK'S GRAPH IS TRANSIENT.
.
.
.46
6
7.3
10
.
.39
13
44
REFERENCES
.
.
THE DIRAC OPERATOR
IN
GEOMETRY AND PHYSICS
MAUNG
MIN-OO
FOREWORD
.
.
.
55
SPINORS AND THE DIRAC OPERATOR,.
.
.56
1.1
INTRODUCTION
TO
SPINORS.
.
.
.56
1.2
THE DIRAC OPERATOR
.
1.3
THE LICHNEROWICZ FORMULA
.
1
2
GROMOV'S K-AREA.
.
.64
2.1
DEFINITION OF K-AREA.
.
.
.64
2.2
2.3
THE FUNDAMENTAL ESTIMATE IN TERMS
CONNECTIONS WITH SYMPLECTIC INVARIANTS.
.
2.4
THE VAFA-WITTEN INEQUALITY
.
73
3
POSITIVE
MASS
THEOREMS. 76
3.1
DESCRIPTION OF RESULTS.
.
76
3.2
MAIN IDEAS BEHIND THE PROOFS.
.
3.3
SOME MATHEMATICAL ASPECTS
OF
THE ADS/CFT CORRESPONDENCE.
.
.
.
.
.
84
REFERENCES 86
.
. |
| any_adam_object | 1 |
| author | Markvorsen, Steen Min-Oo, Maung 1947- |
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| bvnumber | BV017323152 |
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| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)52216241 (DE-599)BVBBV017323152 |
| dewey-full | 516.3/73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/73 |
| dewey-search | 516.3/73 |
| dewey-sort | 3516.3 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017323152 |
| illustrated | Illustrated |
| indexdate | 2025-03-10T13:02:25Z |
| institution | BVB |
| isbn | 3764321709 |
| language | English |
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| physical | 87 S. Ill. |
| publishDate | 2003 |
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| publisher | Birkhäuser |
| record_format | marc |
| series2 | Advanced courses in mathematics, CRM Barcelona |
| spelling | Markvorsen, Steen Verfasser aut Global Riemannian geometry: curvature and topology Steen Markvorsen ; Maung Min-Oo Basel [u.a.] Birkhäuser 2003 87 S. Ill. txt rdacontent n rdamedia nc rdacarrier Advanced courses in mathematics, CRM Barcelona Differentiaalmeetkunde gtt Geometria global larpcal Geometria riemanniana larpcal Géométrie riemannienne globale Global Riemannian geometry Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Globale Riemannsche Geometrie (DE-588)4157622-6 gnd rswk-swf Globale Riemannsche Geometrie (DE-588)4157622-6 s DE-604 Differentialgeometrie (DE-588)4012248-7 s Riemannscher Raum (DE-588)4128295-4 s 1\p DE-604 Min-Oo, Maung 1947- Verfasser (DE-588)133236269 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010441734&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 |
| spellingShingle | Markvorsen, Steen Min-Oo, Maung 1947- Global Riemannian geometry: curvature and topology Differentiaalmeetkunde gtt Geometria global larpcal Geometria riemanniana larpcal Géométrie riemannienne globale Global Riemannian geometry Differentialgeometrie (DE-588)4012248-7 gnd Riemannscher Raum (DE-588)4128295-4 gnd Globale Riemannsche Geometrie (DE-588)4157622-6 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4128295-4 (DE-588)4157622-6 |
| title | Global Riemannian geometry: curvature and topology |
| title_auth | Global Riemannian geometry: curvature and topology |
| title_exact_search | Global Riemannian geometry: curvature and topology |
| title_full | Global Riemannian geometry: curvature and topology Steen Markvorsen ; Maung Min-Oo |
| title_fullStr | Global Riemannian geometry: curvature and topology Steen Markvorsen ; Maung Min-Oo |
| title_full_unstemmed | Global Riemannian geometry: curvature and topology Steen Markvorsen ; Maung Min-Oo |
| title_short | Global Riemannian geometry: curvature and topology |
| title_sort | global riemannian geometry curvature and topology |
| topic | Differentiaalmeetkunde gtt Geometria global larpcal Geometria riemanniana larpcal Géométrie riemannienne globale Global Riemannian geometry Differentialgeometrie (DE-588)4012248-7 gnd Riemannscher Raum (DE-588)4128295-4 gnd Globale Riemannsche Geometrie (DE-588)4157622-6 gnd |
| topic_facet | Differentiaalmeetkunde Geometria global Geometria riemanniana Géométrie riemannienne globale Global Riemannian geometry Differentialgeometrie Riemannscher Raum Globale Riemannsche Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010441734&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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