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Riemannian geometry a beginners guide - Morgan F.

Morgan F. Riemannian geometry a beginners guide - Jones and Bartlett, 1993. - 121 p.
ISBN 0-86720-242-4
Download (direct link): riemanniangeometry1993.djvu
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Sectional curvature, 33, 42, 77, 103
Bonnet’s theorem, 84 conjugate points, 83 constant, 50, 87 diameter, 84 exponential map, 83 of projections, 33 Rauch comparison theorem, 88 sphere theorem, 87 weighted average of axis curvatures, 33 Slice, 11
Smokestack, 6-10 Soap films, 99 Special relativity, 55, 57 Sphere, 18, 23, 47, 53, 67, 68, 69, 73, 75, 82, 87 Sphere theorem, 87 Spherical trigonometry, 67 Steiner problem, 98 Stokes’s theorem, 92 Strake, 6-10 Surface of revolution, 23 Surfaces in R3, 11 in R", 25 Symmetries, 34, 41
Tangent space TPS, 11 Tangent vector T to curve, 5 Torsion, 41 Torus, 51
Variation of curve, 6, 7, 48, 93 second, of curve, 85, 86, 87 of surface, 13, 26, 32 Volume, and scalar curvature, 42
Weingarten map Dn, 69, 71 Wulff shape, 94
Yamabe problem, 42
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