MARC details
| 000 -LEADER |
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| fixed length control field |
02053 a2200253 4500 |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2009037261 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780821849385 (Cloth) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
0821849387 (Cloth) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
|
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.3/62 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
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| -- |
23856 |
| -- |
23856 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Brendle, Simon |
| 245 10 - TITLE STATEMENT |
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| Title |
Ricci flow and the sphere theorem |
| Statement of responsibility, etc. |
Simon Brendle |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Providence, R.I |
| Name of publisher, distributor, etc. |
American Mathematical Society |
| Date of publication, distribution, etc. |
c2010 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vii, 176 p |
| Dimensions |
27 cm |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Graduate studies in mathematics |
| Volume/sequential designation |
v. 111 |
| 500 ## - GENERAL NOTE |
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| General note |
Contine bibliografie si index |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
A survey of sphere theorems in geometry -- Hamilton's Ricci flow -- Interior estimates -- Ricci flow on S2 -- Pointwise curvature estimates -- Curvature pinching in dimension 3 -- Preserved curvature conditions in higher dimensions -- Convergence results in higher dimensions -- Rigidity results |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics with the aim of finding canonical metrics on manifolds. This evolution equation is known as the Ricci flow, and it has since been used widely and with great success, most notably in Perelman's solution of the Poincare conjecture. Furthermore, various convergence theorems have been established. This book provides a concise introduction to the subject as well as a comprehensive account of the convergence theory for the Ricci flow. The proofs rely mostly on maximum principle arguments. Special emphasis is placed on preserved curvature conditions, such as positive isotropic curvature. One of the major consequences of this theory is the Differentiable Sphere Theorem: a compact Riemannian manifold, whose sectional curvatures all lie in the interval (1,4], is diffeomorphic to a spherical space form. This question has a long history, dating back to a seminal paper by H. E. Rauch in 1951, and it was resolved in 2007 by the author and Richard Schoen."--Publisher's description |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Ricci flow |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Sphere |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Graduate studies in mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Institution code [OBSOLETE] |
IMAR |
| Koha item type |
Carti |
| Serial record flag |
RM |