Global Differential Geometry and Global Analysis 1984: Proceedings of a Conference Held in Berlin, June 10-14, 1984

ISBN-13: 9783540159940 / Angielski / Miękka / 1985 / 342 str.

Dirk Ferus; Robert B. Gardner; Sigurdur Helgason

Opis

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.

Spis treści

A Toponogov splitting theorem for Lorentzian manifolds.- A survey on CR — Submanifolds of Kaehlerian manifolds.- Isoperimetric inequalities, heat equation and geometric applications.- Symmetric immersions in pseudo-Riemannian space forms.- Immersions of surfaces into space forms.- Examples of 1-codimensional non totally geodesic isometric immersions of pseudo-riemannian space forms with the same positive constant curvature and the same space-like rank.- Riemannian manifolds with harmonic curvature.- Structure of manifolds of nonpositive curvature.- Equivalence of one dimensional Lagrangian field theories in the plane I.- Applications of the Gauss mapping for hypersurfaces of the sphere.- Submanifolds and the second fundamental tensor.- Embedded minimal surfaces, computer graphics and elliptic functions.- The Bernstein problem for foliations.- Examples concerning the spectrum of a closed Riemannian manifold.- Tight smoothing of some polyhedral surfaces.- On the number of tritangencies of a surface in IR3.- Small eigenvalues of the Laplacian and examples.- Horizontal lifts of isometric immersions into the bundle space of a pseudo-Riemannian submersion.- Positively curved minimal submanifolds.- Affinsphären mit ebenen Schattengrenzen.- Conformal orbits of electromagnetic Riemannian curvature tensors electromagnetic implies gravitational radiation.

O autorze

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