Ebook: Differential Geometry and Topology: Proceedings of the Special Year at Nankai Institute of Mathematics, Tianjin, PR China, 1986–87

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.

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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.
Content:
Front Matter....Pages -
Dupin submanifolds in lie sphere geometry....Pages 1-48
The mean curvatures on the tubular hypersurfaces in a space of constant curvature....Pages 49-62
Deformation of surfaces preserving principal curvatures....Pages 63-70
Lectures on immersion theory....Pages 71-124
Surface maps and braid equations, I....Pages 125-141
Affine maximal surfaces and harmonic functions....Pages 142-151
Codimension 1 and 2 immersions of lens spaces....Pages 152-163
Exceptional simple lie groups and related topics in recent differential geometry....Pages 164-175
A remark on the isoparametric polynomials of degree 6....Pages 176-182
On the holomorphic maps from riemann surfaces to grassmannians....Pages 183-221
Stability of totally real minimal submanifolds....Pages 222-224
Dirichlet problems and the Laplacian in affine hypersurface theory....Pages 225-234
A class of symmetric functions and Chern classes of projective varieties....Pages 235-242
Essential invariant circles of surface automorphisms of finite order....Pages 243-260
Jones polynomial and the crossing number of links....Pages 261-274
On complete minimal surfaces with parallel and flat ends....Pages 275-285
Regularity of harmonic maps into certain homogeneous spaces....Pages 286-288
Local expressions of classical geometric elliptic operators....Pages 289-294
Volume of geodesic balls....Pages 295-305
Local atiyah-singer index theorem for families of dirac operators....Pages 306-321
....Pages 322-332