Differential geometry and topology : proceedings of the special year at Nankai Institute of Mathematics, Tianjin, PR China, 1986-87

書誌事項

Differential geometry and topology : proceedings of the special year at Nankai Institute of Mathematics, Tianjin, PR China, 1986-87

Boju Jiang, Chia-Kuei Peng, Zixin Hou (eds.)

(Lecture notes in mathematics, 1369 . Nankai Institute of Mathematics, Tianjin, P.R. China ; v. 5)

Springer-Verlag, c1989

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注記

"The Nankai Institute of Mathematics held a Special Year in Geometry and Topology during the academic year 1986-1987"--Foreword

内容説明・目次

目次

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.

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