000			02979cam a2200541Mi 4500
001			ocn818814690
003			OCoLC
005			20141103172224.0
006			m o d
007			cr unu||||||||
008			121124s2009 vtu o 001 0 eng d
040			_aEBLCP _beng _epn _cEBLCP _dOCLCO _dOCLCQ _dIDEBK _dOPELS _dN$T _dOCLCF _dUKDOC _dOCLCQ
020			_a9780444107640 (electronic bk.)
020			_a0444107649 (electronic bk.)
029	1		_aDEBSZ _b414264223
035			_a(OCoLC)818814690
050		4	_aQA649 _b.C47 2009
072		7	_aMAT _x031000 _2bisacsh
082	0	4	_a515.73 _a516.3/73 _a516.373
049			_aTEFA
100	1		_aCheeger, Jeff.
245	1	0	_aComparison Theorems in Riemannian Geometry _h[electronic resource] / _cJeff Cheeger and David G. Ebin.
260			_aBurlington : _bElsevier Science, _c2009.
300			_a1 online resource (183 pages).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNorth-Holland Mathematical Library
505	0		_aFront Cover; Comparison Theorems in Riemannian Geometry; Copyright Page; Preface; Contents; Chapter 1. Basic Concepts and Results; 0. Notation and preliminaries; 1. First variation of arc length; 2. Exponential map and normal coordinates; 3. The Hopf-Rinow Theorem; 4. The curvature tensor and Jacobi fields; 5. Conjugate points; 6. Second variation of arc length; 7. Submanifolds and the second fundamental form; 8. Basic index lemmas; 9. Ricci curvature and Myers' and Bonnet's Theorems; 10. Rauch Comparison Theorems; 11. The Cartan-Hadamard Theorem; 12. The Cartan-Ambrose-Hicks Theorem.
505	8		_a13. Spaces of constant curvatureChapter 2. Toponogov's Theorem; Chapter 3. Homogeneous spaces; Chapter 4. Morse theory; Chapter 5. Closed geodesics and the cut locus; Chapter 6. The Sphere Theorem and its generalizations; Chapter 7. The differentiable Sphere Theorem; Chapter 8. Complete manifolds of nonnegative curvature; Chapter 9. Compact manifolds of nonpositive curvature; Index.
520			_aComparison Theorems in Riemannian Geometry.
588	0		_aPrint version record.
650		0	_aGeometry, Riemannian.
650		0	_aRiemannian manifolds.
650		7	_aMATHEMATICS _xTransformations. _2bisacsh
650		7	_aGeometry, Riemannian. _2fast _0(OCoLC)fst00940940
650		7	_aRiemannian manifolds. _2fast _0(OCoLC)fst01097804
655		4	_aElectronic books.
776	0	8	_iPrint version: _aCheeger, _tComparison Theorems in Riemannian Geometry : V9. _dBurlington : Elsevier Science, �2009 _z9780720424614
830		0	_aNorth-Holland mathematical library.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444107640
938			_a123Library.org _b123L _n58587
938			_aEBL - Ebook Library _bEBLB _nEBL1024816
938			_aEBSCOhost _bEBSC _n516064
938			_aIngram Digital eBook Collection _bIDEB _ncis24421754
942			_cEB
994			_aC0 _bTEF
999			_c21738 _d21738