000			02954nam a22005175i 4500
003			DE-He213
005			20191014011323.0
007			cr nn 008mamaa
008			101109s2011 gw | s |||| 0|eng d
020	6	4	_a9783642162862 _9978-3-642-16286-2
024	8	7	_a10.1007/978-3-642-16286-2 _2doi
050	8	4	_aQA370-380
072	8	7	_aPBKJ _2bicssc
072	8	7	_aMAT007000 _2bisacsh
082			_a515.353 _223
100	8	1	_aAndrews, Ben. _eauthor. _9170342
245			_aThe Ricci Flow in Riemannian Geometry _h[electronic resource] : _bA Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem / _cby Ben Andrews, Christopher Hopper.
001			000069011
300	6	4	_aXVIII, 302 p. 13 illus., 2 illus. in color. _bonline resource.
490	8	1	_aLecture Notes in Mathematics, _x0075-8434 ; _v2011
505	8	0	_a1 Introduction -- 2 Background Material -- 3 Harmonic Mappings -- 4 Evolution of the Curvature -- 5 Short-Time Existence -- 6 Uhlenbecks 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 Bȵhm and Wilking -- 14 Preserving Positive Isotropic Curvature -- 15 The Final Argument.
520	6	4	_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 Bȵhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
650	8	0	_aMathematics. _98571
650	8	0	_aGlobal analysis. _917903
650	8	0	_aDifferential equations, partial. _99614
650	8	0	_aGlobal differential geometry. _99530
650			_aMathematics. _98571
650			_aPartial Differential Equations. _99616
650			_aDifferential Geometry. _99532
650			_aGlobal Analysis and Analysis on Manifolds. _917904
700	8	1	_aHopper, Christopher. _eauthor. _9170343
710	8	2	_aSpringerLink (Online service) _9170344
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9783642162855
830	8	0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2011 _9170345
856			_uhttp://dx.doi.org/10.1007/978-3-642-16286-2 _zde clik aquí para ver el libro electrónico
264	8	1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
516	6	4	_aZDB-2-LNM
999			_c68741 _d68741
942			_c05