Global differential geometry and global analysis : proceedings of a conference held in Berlin, 15-20 June, 1990
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書誌事項
Global differential geometry and global analysis : proceedings of a conference held in Berlin, 15-20 June, 1990
（Lecture notes in mathematics, 1481）
Springer-Verlag, c1991
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- : us
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注記
Editors: D. Ferus, U. Pinkall, U. Simon, B. Wegner
Includes bibliographical references
"The conference 'Global Differential Geometry and Global Analysis',TU Berlin, June 15-20, 1990" -- [p. 5]
内容説明・目次
内容説明
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.
目次
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.- Schroedinger 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.
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