000			03143nam a22005055i 4500
001			978-3-642-16286-2
003			DE-He213
005			20190213151356.0
007			cr nn 008mamaa
008			101109s2011 gw | s |||| 0|eng d
020			_a9783642162862 _9978-3-642-16286-2
024	7		_a10.1007/978-3-642-16286-2 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
072		7	_aPBKJ _2thema
082	0	4	_a515.353 _223
100	1		_aAndrews, Ben. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	4	_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.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXVIII, 302 p. 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	_aDifferential equations, partial.
650		0	_aGlobal differential geometry.
650		0	_aGlobal analysis.
650	1	4	_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155
650	2	4	_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022
650	2	4	_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082
700	1		_aHopper, Christopher. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642162855
776	0	8	_iPrinted edition: _z9783642162879
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v2011
856	4	0	_uhttps://doi.org/10.1007/978-3-642-16286-2
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c10459 _d10459