000 | 02767nam a22004815i 4500 | ||
---|---|---|---|
001 | u375271 | ||
003 | SIRSI | ||
005 | 20160812084316.0 | ||
007 | cr nn 008mamaa | ||
008 | 101109s2011 gw | s |||| 0|eng d | ||
020 |
_a9783642162862 _9978-3-642-16286-2 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA370-380 | |
082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aAndrews, Ben. _eauthor. |
|
245 | 1 | 4 |
_aThe Ricci Flow in Riemannian Geometry _h[recurso electrónico] : _bA Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem / _cby Ben Andrews, Christopher Hopper. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011. |
|
300 |
_aX, 276p. 13 illus., 2 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2011 |
|
505 | 0 | _a1 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. | |
520 | _aThis 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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aGlobal analysis. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aPartial Differential Equations. |
650 | 2 | 4 | _aDifferential Geometry. |
650 | 2 | 4 | _aGlobal Analysis and Analysis on Manifolds. |
700 | 1 |
_aHopper, Christopher. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642162855 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2011 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-16286-2 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c203151 _d203151 |