Global Differential Geometry and Global Analysis: Proceedings of the Colloquium Held at the Technical University of Berlin, November 21 – 24, 1979 [1 ed.]
9780387102856, 0-387-10285-X [DJVU]
Table of contents : E. B. Christoffels Einfluss auf die Geometrie....Pages 1-11 Distance geometry in Riemannian manifolds-with-boundary....Pages 12-18 Laplacian with a potential....Pages 19-29 Laplacian and riemannian submersions with totally geodesic fibres....Pages 30-35 A plateau problem with many solutions for boundary curves in a given knot class....Pages 36-41 Ricci curvature and einstein metrics....Pages 42-63 Smooth approximation of polyhedral surfaces with respect to curvature measures....Pages 64-68 Invariant eigenfunctions of the laplacian and their asymptotic distribution....Pages 69-81 The bieberbach case in gromov’s almost flat manifold theorem....Pages 82-93 Tight spherical embeddings....Pages 94-104 Characterizations of space forms by hypersurfaces....Pages 105-109 On graded bundles and their geometry....Pages 110-125 Compact riemannian manifolds with harmonic curvature and non-parallel ricci tensor....Pages 126-128 Stability of minimal submanifolds....Pages 129-139 A generalization of Weyl’s tube formula....Pages 140-144 The X-ray transform on a symmetric space....Pages 145-148 Visibility, horocycles, and the Bruhat decomposition....Pages 149-153 On holomorphic connections....Pages 154-164 Fiber parallelism and connections....Pages 165-173 Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume....Pages 174-180 Tight foliations....Pages 181-186 Minima and critical points of the energy in dimension two....Pages 187-193 S 1 -actions on almost complex manifolds....Pages 194-202 On conformal immersions of space forms....Pages 203-210 Some remarks on elliptic equations and infinitesimal deformations of submanifolds....Pages 211-220 The spectrum of the laplacian and the curvature of sasakian manifolds....Pages 221-228 Geodesic chains and the spherical mean operator....Pages 229-232 The spectrum of the laplace operator for a special complex manifold....Pages 233-238 On the holomorphicity of harmonic maps from a surface....Pages 239-243 Codazzi tensors and reducible submanifolds....Pages 245-248 Codazzi tensor fields and curvature operators....Pages 249-250 Some remarks on the local structure of codazzi tensors....Pages 251-255 A remark on codazzi tensors in constant curvature spaces....Pages 257-257 A contribution to the "Codazzi" discussion....Pages 258-262 Codazzi pairs on surfaces....Pages 263-274 An application of a. d. Aleksandrov’s inequality to the problem of characterization of spheres....Pages 275-288 Codazzi tensors....Pages 289-296 Verallgemeinerung eines Satzes von Leung und Nomizu....Pages 297-298 Codazzi — Tensors in surface theory....Pages 299-299