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The ricci flow in Riemannian geometry a complete proof of the differentiable 1/4-pinching sphere theorem /
Annotation
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York :
Springer,
©2011.
Berlin ; Heidelberg ; New York : [2011] |
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
2011. |
| Physical Description: |
1 online resource (xvii, 296 pages) : illustrations. |
| Subjects: | |
| Online Access: | SpringerLink - Click here for access |
MARC
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| 100 | 1 | |a Andrews, Ben |q (Frederick Benjamin) |0 https://id.loc.gov/authorities/names/n86818805 |1 https://id.oclc.org/worldcat/entity/E39PCjqXv8q7pmMyQjQFMqqmV3. | |
| 245 | 1 | 4 | |a The ricci flow in Riemannian geometry : |b a complete proof of the differentiable 1/4-pinching sphere theorem / |c Ben Andrews, Christopher Hopper. |
| 260 | |a Berlin ; |a Heidelberg ; |a New York : |b Springer, |c ©2011. | ||
| 264 | 1 | |a Berlin ; |a Heidelberg ; |a New York : |b Springer, |c [2011] | |
| 264 | 4 | |c ©2011. | |
| 300 | |a 1 online resource (xvii, 296 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 347 | |a text file. | ||
| 347 | |b PDF. | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 2011. | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Annotation |b This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem. | |
| 505 | 0 | |a 1 Introduction -- 2 Background Material -- 3 Harmonic Mappings -- 4 Evolution of the Curvature -- 5 Short-Time Existence -- 6 Uhlenbeck's Trick -- 7 The Weak Maximum Principle -- 8 Regularity and Long-Time Existence -- 9 The Compactness Theorem for Riemannian Manifolds -- 10 The F-Functional and Gradient Flows -- 11 The W-Functional and Local Noncollapsing -- 12 An Algebraic Identity for Curvature Operators -- 13 The Cone Construction of Böhm and Wilking -- 14 Preserving Positive Isotropic Curvature -- 15 The Final Argument. | |
| 546 | |a English. | ||
| 650 | 0 | |a Ricci flow. |0 https://id.loc.gov/authorities/subjects/sh2004000290. | |
| 650 | 0 | |a Geometry, Riemannian. |0 https://id.loc.gov/authorities/subjects/sh85054159. | |
| 650 | 6 | |a Flot de Ricci. | |
| 650 | 6 | |a Géométrie de Riemann. | |
| 650 | 0 | 7 | |a Geometría riemanniana. |2 embucm. |
| 650 | 7 | |a Geometry, Riemannian. |2 fast. | |
| 650 | 7 | |a Ricci flow. |2 fast. | |
| 653 | 0 | 0 | |a wiskunde. |
| 653 | 0 | 0 | |a mathematics. |
| 653 | 0 | 0 | |a differentiaalmeetkunde. |
| 653 | 0 | 0 | |a differential geometry. |
| 653 | 0 | 0 | |a partial differential equations. |
| 653 | 1 | 0 | |a Mathematics (General) |
| 653 | 1 | 0 | |a Wiskunde (algemeen) |
| 700 | 1 | |a Hopper, Christopher. |0 https://id.loc.gov/authorities/names/nb2011000703. | |
| 710 | 2 | |a SpringerLink (Online service) |0 https://id.loc.gov/authorities/names/no2005046756. | |
| 776 | 0 | 8 | |i Print version: |a Andrews, Ben. |t Ricci flow in riemannian geometry. |d Berlin ; Heidelberg ; New York : Springer Verlag, ©2011 |z 9783642162855 |w (OCoLC)668190681. |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |0 https://id.loc.gov/authorities/names/n42015165 |v 2011. | |
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