Global Differential Geometry and Global Analysis: Proceedings of a Conference held in Berlin, 15-20 June, 1990

ISBN-13: 9783540547280 / Angielski / Miękka / 1991 / 288 str.

Dirk Ferus;Ulrich Pinkall;Udo Simon

Opis

This volume contains a series of original research articles on global differential geometry and global analysis. Topics discussed include generalized Cayley surfaces, affine and Euclidean completeness, transversal curvature and tautness for Riemannian foliations and much more.

Spis treści

On the minimal hypersurfaces of a locally symmetric manifold.- The spectral geometry of the laplacian and the conformal laplacian for manifolds with boundary.- Minimal immersions of Rp2 into ?pn.- Isoptics of a closed strictly convex curve.- Generalized cayley surfaces.- On a certain class of conformally flat Euclidean hypersurfaces.- Self-dual manifolds with non-negative ricci operator.- On the obstruction group to existence of riemannian metrics of positive scalar curvature.- Compact manifolds with 1/4-pinched negative curvature.- The geometry of moduli spaces of stable vector bundles over riemann surfaces.- A canonical connection for locally homogeneous riemannian manifolds.- Some improper affine spheres in A 3.- A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature.- Affine completeness and euclidean completeness.- On Submanifolds with parallel higher order fundamental form in euclidean spaces.- Convex affine surfaces with constant affine mean curvature.- Transversal curvature and tautness for riemannian foliations.- Schrödinger operators associated to a holomorphic map.- Generic existence of morse functions on infinite dimensional riemannian manifolds and applications.- Some extensions of radon's theorem.- Generalized killing spinors with imaginary killing function and conformal killing fields.- On prolongation and invariance algebras in superspace.- On the veronese embedding and related system of differential equations.- Generalizations of harmonic manifolds.- Diffeomorphism groups, pseudodifferential operators and r-matrices.- On the theory of G-webs and G-loops.- Some examples of complete hyperbolic affine 2-spheres in ?3.

O autorze

Udo Simon: Research Associate, Islamic Studies, University of Heidelberg