000			01600nam a22003377a 4500
003			IIITD
005			20260222162641.0
008			260216b |||||||| |||| 00| 0 eng d
020			_a9783030053116
040			_aIIITD
082	0	4	_a516.36 _bALE-I
100	1		_aAlexander, Stephanie
245	1	3	_aAn invitation to Alexandrov geometry : _bCAT(0) spaces _cby Stephanie Alexander, Vitali Kapovitch and Anton Petrunin
260			_aSwitzerland : _bSpringer, _c©2019
300			_axii, 88 p. : _bill. ; _c24 cm.
490	1		_aSpringerBriefs in Mathematics, _x2191-8198
504			_aIncludes bibliographic references and index.
505			_t1. Preliminaries
505			_t2. Gluing theorem and billiards
505			_t3. Globalization and asphericity
505			_t4. Subsets
520			_aAimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard-Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
650		0	_aDifferential geometry.
650		0	_aGroup theory.
650	1	4	_aDifferential Geometry.
650	2	4	_aGroup Theory and Generalizations.
700	1		_aKapovitch, Vitali
700	1		_aPetrunin, Anton
830		0	_aSpringerBriefs in Mathematics
942			_2ddc _cBK
999			_c209606 _d209606