Riemannian geometry: [workshop held Aug. 3 - 13, 1993, in Waterloo, Canada]
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| Main Authors: | , , , |
|---|---|
| Other Authors: | , , |
| Format: | Conference Proceeding Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[1996]
|
| Series: | Fields Institute for Research in Mathematical Sciences: Fields Institute monographs
4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Vorwort: "A micro-program in Riemannian Geometry was sponsored by the Fields Institute for Research in Mathematical Sciences, Waterloo, Canada, during August 3-13, 1993." |
| Physical Description: | xi, 115 Seiten Diagramme |
| ISBN: | 0821802631 9780821802632 |
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MARC
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| 111 | 2 | |a Conference on Riemannian Geometry |d 1993 |c Waterloo, Ontario |0 (DE-588)5247978-X |4 isb | |
| 245 | 1 | 0 | |a Riemannian geometry |c Gerard Besson, Joachim Lohkamp, Pierre Pansu, Peter Petersen. Edited by Miroslav Lovric, Maung Min-Oo, McKenzie Y.-K. Wang |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1996] | |
| 264 | 4 | |c © 1996 | |
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| 490 | 1 | |a Fields Institute for Research in Mathematical Sciences: Fields Institute monographs |v 4 | |
| 500 | |a Aus dem Vorwort: "A micro-program in Riemannian Geometry was sponsored by the Fields Institute for Research in Mathematical Sciences, Waterloo, Canada, during August 3-13, 1993." | ||
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Record in the Search Index
| _version_ | 1807864075235885056 |
|---|---|
| adam_text |
Contents
Preface
їх
Lecture
Series
1.
Volumes and
Entropies
Gérard Besson
1
Preface
З
1.
Volumes
5
2.
Simplicial volume
9
3.
Entropies
13
4.
Some results and a new method
17
Bibliography
21
Lectures Series
2.
Global and Local Curvatures
Joachim Lohkamp
23
Preface
25
1.
Curved balls
27
1.1
Obstructions
27
1.2
Negative
Ricci
and scalar curvature
28
1.3
Micro- and macro-viewpoints
30
2.
Approximation
35
2.1
Topologies on spaces of metrics
35
2.2
C°- and Hausdorff-approximations
37
2.3
enclosure
41
3.
Internal structures
43
3.1
Nonconnected moduli spaces
43
3.2
Contractibility of Ric<a (M) and
S
<a (M)
44
3.3
Geometric content
49
Bibliography
51
viii Contents
Lecture
Series
3.
Introduction to
L2
Betti
Numbers
Pierre
Pansu
53
Acknowledgments
55
1.
Introduction
57
2.
Von-Neumann dimension
61
3.
Simplicial L2
Betti
numbers
65
4.
Homotopy
invariance
67
5.
Invariants of discrete groups
69
6.
Atiyah's L2 index theorem
71
7.
L°° cohomology and negative curvature
73
8.
A vanishing theorem for
Kahler
hyperbolic manifolds
75
9.
Non
vanishing theorems for L2 cohomology
77
10.
I? index for projectively invariant operators
81
Bibliography
85
Lecture Series
4.
Comparison Geometry Problem List
Peter Petersen
87
Introduction
89
1.
Review of techniques in comparison geometry
91
1.1
G
-Н
convergence
91
1.2
Critical point theory
92
1.3
Convexity techniques
92
1.4
Constructions of examples
95
2.
Results in comparison geometry
99
2.1
Structure results
99
2.2
Finiteness results
100
2.3
Pinching theorems
101
3.
Problems
105
Bibliography 111 |
| any_adam_object | 1 |
| author | Besson, Gérard 1955- Lohkamp, Joachim Pansu, Pierre Petersen, Peter 1962- |
| author2 | Lovrić, Miroslav 1957- Min-Oo, Maung 1947- Wang, McKenzie Y.-K |
| author2_role | edt edt edt |
| author2_variant | m l ml m m o mmo m y k w myk mykw |
| author_GND | (DE-588)125464587X (DE-588)118069292 (DE-588)1254646094 (DE-588)133236269 |
| author_facet | Besson, Gérard 1955- Lohkamp, Joachim Pansu, Pierre Petersen, Peter 1962- Lovrić, Miroslav 1957- Min-Oo, Maung 1947- Wang, McKenzie Y.-K |
| author_role | aut aut aut aut |
| author_sort | Besson, Gérard 1955- |
| author_variant | g b gb j l jl p p pp p p pp |
| building | Verbundindex |
| bvnumber | BV010783570 |
| classification_rvk | SD 1993 SK 350 SK 370 |
| classification_tum | MAT 537f |
| ctrlnum | (OCoLC)246796794 (DE-599)BVBBV010783570 |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| genre_facet | Konferenzschrift 1993 Waterloo Ontario |
| id | DE-604.BV010783570 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-20T00:25:36Z |
| institution | BVB |
| institution_GND | (DE-588)5247978-X |
| isbn | 0821802631 9780821802632 |
| language | English |
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| physical | xi, 115 Seiten Diagramme |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | American Mathematical Society |
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| series | Fields Institute for Research in Mathematical Sciences: Fields Institute monographs |
| series2 | Fields Institute for Research in Mathematical Sciences: Fields Institute monographs |
| spelling | Conference on Riemannian Geometry 1993 Waterloo, Ontario (DE-588)5247978-X isb Riemannian geometry Gerard Besson, Joachim Lohkamp, Pierre Pansu, Peter Petersen. Edited by Miroslav Lovric, Maung Min-Oo, McKenzie Y.-K. Wang Providence, Rhode Island American Mathematical Society [1996] © 1996 xi, 115 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Fields Institute for Research in Mathematical Sciences: Fields Institute monographs 4 Aus dem Vorwort: "A micro-program in Riemannian Geometry was sponsored by the Fields Institute for Research in Mathematical Sciences, Waterloo, Canada, during August 3-13, 1993." Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1993 Waterloo Ontario gnd-content Riemannsche Geometrie (DE-588)4128462-8 s DE-604 Besson, Gérard 1955- (DE-588)125464587X aut Lohkamp, Joachim aut Pansu, Pierre aut Petersen, Peter 1962- (DE-588)118069292 aut Lovrić, Miroslav 1957- (DE-588)1254646094 edt Min-Oo, Maung 1947- (DE-588)133236269 edt Wang, McKenzie Y.-K. edt Erscheint auch als Online-Ausgabe 978-1-4704-3131-0 Fields Institute for Research in Mathematical Sciences: Fields Institute monographs 4 (DE-604)BV009737926 4 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007202630&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Riemannian geometry Fields Institute for Research in Mathematical Sciences: Fields Institute monographs Riemannsche Geometrie (DE-588)4128462-8 gnd Besson, Gérard 1955- Lohkamp, Joachim Pansu, Pierre Petersen, Peter 1962- |
| subject_GND | (DE-588)4128462-8 (DE-588)1071861417 |
| title | Riemannian geometry |
| title_auth | Riemannian geometry |
| title_exact_search | Riemannian geometry |
| title_full | Riemannian geometry Gerard Besson, Joachim Lohkamp, Pierre Pansu, Peter Petersen. Edited by Miroslav Lovric, Maung Min-Oo, McKenzie Y.-K. Wang |
| title_fullStr | Riemannian geometry Gerard Besson, Joachim Lohkamp, Pierre Pansu, Peter Petersen. Edited by Miroslav Lovric, Maung Min-Oo, McKenzie Y.-K. Wang |
| title_full_unstemmed | Riemannian geometry Gerard Besson, Joachim Lohkamp, Pierre Pansu, Peter Petersen. Edited by Miroslav Lovric, Maung Min-Oo, McKenzie Y.-K. Wang |
| title_short | Riemannian geometry |
| title_sort | riemannian geometry |
| title_sub | [workshop held Aug. 3 - 13, 1993, in Waterloo, Canada] |
| topic | Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Riemannsche Geometrie Konferenzschrift 1993 Waterloo Ontario |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007202630&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009737926 |
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