Differential Geometry and Topology

From the contents: T.E. Cecil, S.S. Chern: Dupin Submanifolds in Lie Sphere Geometry.- R.L. Cohen, U. Tillmann: Lectures on Immersion Theory.- Li An-Min: Affine Maximal Surface and Harmonic Functions.- S. Murakami: Exceptional Simple Lie Groups and Related Topics in Recent Differential Geometry.- U. Simon: Dirichlet Problems and the Laplacian in Affine Hypersurface Theory.- Wang Shicheng: Essential Invariant Circles of Surface Automorphism of Finite Order.

Inhalt

Dupin submanifolds in lie sphere geometry.- The mean curvatures on the tubular hypersurfaces in a space of constant curvature.- Deformation of surfaces preserving principal curvatures.- Lectures on immersion theory.- Surface maps and braid equations, I.- Affine maximal surfaces and harmonic functions.- Codimension 1 and 2 immersions of lens spaces.- On third order nondegenerate immersions and maps of S 1 in R 2.- Complete surfaces in H 3 with a constant principal curvature.- Exceptional simple lie groups and related topics in recent differential geometry.- A remark on the isoparametric polynomials of degree 6.- On the holomorphic maps from riemann surfaces to grassmannians.- Stability of totally real minimal submanifolds.- Dirichlet problems and the Laplacian in affine hypersurface theory.- A class of symmetric functions and Chern classes of projective varieties.- Essential invariant circles of surface automorphisms of finite order.- Jones polynomial and the crossing number of links.- On complete minimal surfaces with parallel and flat ends.- Regularity of harmonic maps into certain homogeneous spaces.- On infinitesimal deformations of surfaces in E 3.- Local expressions of classical geometric elliptic operators.- Volume of geodesic balls.- On complete minimal immersion ?: RP 2 ? {a, b} ? R 3 with total curvature ?10?.- Local atiyah-singer index theorem for families of dirac operators.