Global Differential Geometry and Global Analysis: Proceedings of the Colloquium Held at the Technical University of Berlin, November 21 – 24, 1979

K. Leichtweiß (auth.), Dirk Ferus, Wolfgang Kühnel, Udo Simon, Bernd Wegner (eds.)9780387102856, 0-387-10285-X

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