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

Stefana Hineva, Evgeni Belchev (auth.), Dirk Ferus, Ulrich Pinkall, Udo Simon, Berd Wegner (eds.)9783540547280, 3540547282, 0387547282, 9780387547282

All papers appearing in this volume are original research articles and have not been published elsewhere. They meet the requirements that are necessary for publication in a good quality primary journal. E.Belchev, S.Hineva: On the minimal hypersurfaces of a locally symmetric manifold. -N.Blasic, N.Bokan, P.Gilkey: The spectral geometry of the Laplacian and the conformal Laplacian for manifolds with boundary. -J.Bolton, W.M.Oxbury, L.Vrancken, L.M. Woodward: Minimal immersions of RP2 into CPn. -W.Cieslak, A. Miernowski, W.Mozgawa: Isoptics of a strictly convex curve. -F.Dillen, L.Vrancken: Generalized Cayley surfaces. -A.Ferrandez, O.J.Garay, P.Lucas: On a certain class of conformally flat Euclidean hypersurfaces. -P.Gauduchon: Self-dual manifolds with non-negative Ricci operator. -B.Hajduk: On the obstruction group toexistence of Riemannian metrics of positive scalar curvature. -U.Hammenstaedt: Compact manifolds with 1/4-pinched negative curvature. -J.Jost, Xiaowei Peng: The geometry of moduli spaces of stable vector bundles over Riemannian surfaces. – O.Kowalski, F.Tricerri: A canonical connection for locally homogeneous Riemannian manifolds. -M.Kozlowski: Some improper affine spheres in A3. -R.Kusner: A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature. -Anmin Li: Affine completeness and Euclidean completeness. -U.Lumiste: On submanifolds with parallel higher order fundamental form in Euclidean spaces. -A.Martinez, F.Milan: Convex affine surfaces with constant affine mean curvature. -M.Min-Oo, E.A.Ruh, P.Tondeur: Transversal curvature and tautness for Riemannian foliations. -S.Montiel, A.Ros: Schroedinger operators associated to a holomorphic map. -D.Motreanu: Generic existence of Morse functions on infinite dimensional Riemannian manifolds and applications. -B.Opozda: Some extensions of Radon’s theorem.

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Table of contents :
On the minimal hypersurfaces of a locally symmetric manifold….Pages 1-4
The spectral geometry of the laplacian and the conformal laplacian for manifolds with boundary….Pages 5-17
Minimal immersions of Rp 2 into ℂp n ….Pages 18-27
Isoptics of a closed strictly convex curve….Pages 28-35
Generalized cayley surfaces….Pages 36-47
On a certain class of conformally flat Euclidean hypersurfaces….Pages 48-54
Self-dual manifolds with non-negative ricci operator….Pages 55-61
On the obstruction group to existence of riemannian metrics of positive scalar curvature….Pages 62-72
Compact manifolds with 1/4-pinched negative curvature….Pages 73-78
The geometry of moduli spaces of stable vector bundles over riemann surfaces….Pages 79-96
A canonical connection for locally homogeneous riemannian manifolds….Pages 97-103
Some improper affine spheres in A 3 ….Pages 104-107
A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature….Pages 108-114
Affine completeness and euclidean completeness….Pages 115-125
On Submanifolds with parallel higher order fundamental form in euclidean spaces….Pages 126-137
Convex affine surfaces with constant affine mean curvature….Pages 138-144
Transversal curvature and tautness for riemannian foliations….Pages 145-146
Schrödinger operators associated to a holomorphic map….Pages 147-174
Generic existence of morse functions on infinite dimensional riemannian manifolds and applications….Pages 175-184
Some extensions of radon’s theorem….Pages 185-191
Generalized killing spinors with imaginary killing function and conformal killing fields….Pages 192-198
On prolongation and invariance algebras in superspace….Pages 199-209
On the veronese embedding and related system of differential equations….Pages 210-247
Generalizations of harmonic manifolds….Pages 248-257
Diffeomorphism groups, pseudodifferential operators and r-matrices….Pages 258-263
On the theory of G-webs and G-loops….Pages 264-270
Some examples of complete hyperbolic affine 2-spheres in ℝ 3 ….Pages 271-280