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

ISBN-13: 9783540102854 / Angielski / Miękka / 1981 / 298 str.

D. Ferus; W. Ka1/4hnel; U. Simon

Spis treści

E. B. Christoffels Einfluss auf die Geometrie.- Distance geometry in Riemannian manifolds-with-boundary.- Laplacian with a potential.- Laplacian and riemannian submersions with totally geodesic fibres.- A plateau problem with many solutions for boundary curves in a given knot class.- Ricci curvature and einstein metrics.- Smooth approximation of polyhedral surfaces with respect to curvature measures.- Invariant eigenfunctions of the laplacian and their asymptotic distribution.- The bieberbach case in gromov’s almost flat manifold theorem.- Tight spherical embeddings.- Characterizations of space forms by hypersurfaces.- On graded bundles and their geometry.- Compact riemannian manifolds with harmonic curvature and non-parallel ricci tensor.- Stability of minimal submanifolds.- A generalization of Weyl’s tube formula.- The X-ray transform on a symmetric space.- Visibility, horocycles, and the Bruhat decomposition.- On holomorphic connections.- Fiber parallelism and connections.- Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume.- Tight foliations.- Minima and critical points of the energy in dimension two.- S1-actions on almost complex manifolds.- On conformal immersions of space forms.- Some remarks on elliptic equations and infinitesimal deformations of submanifolds.- The spectrum of the laplacian and the curvature of sasakian manifolds.- Geodesic chains and the spherical mean operator.- The spectrum of the laplace operator for a special complex manifold.- On the holomorphicity of harmonic maps from a surface.- Codazzi tensors and reducible submanifolds.- Codazzi tensor fields and curvature operators.- Some remarks on the local structure of codazzi tensors.- A remark on codazzi tensors in constant curvature spaces.- A contribution to the "Codazzi" discussion.- Codazzi pairs on surfaces.- An application of a. d. Aleksandrov’s inequality to the problem of characterization of spheres.- Codazzi tensors.- Verallgemeinerung eines Satzes von Leung und Nomizu.- Codazzi — Tensors in surface theory.