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

معرفی کتاب «Differential Geometry and Topology : Proceedings of the Special Year at Nankai Institute of Mathematics, Tianjin, PR China, 1986-87» نوشتهٔ Thomas E. Cecil, Shiing-Shen Chern (auth.), Boju Jiang, Chia-Kuei Peng, Zixin Hou (eds.)، منتشرشده توسط نشر Springer-Verlag Berlin Heidelberg در سال 1369. این کتاب در فرمت pdf، زبان انگلیسی ارائه شده است.

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. Zixin Huo, Boju Jiang, Chia-kuei Peng, (eds.). Includes Bibliographical References. 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 On third order nondegenerate immersions and maps of S 1 in R 2 ....Pages 164-175 Complete surfaces in H 3 with a constant principal curvature....Pages 176-182 Exceptional simple lie groups and related topics in recent differential geometry....Pages 183-221 A remark on the isoparametric polynomials of degree 6....Pages 222-224 On the holomorphic maps from riemann surfaces to grassmannians....Pages 225-234 Stability of totally real minimal submanifolds....Pages 235-242 Dirichlet problems and the Laplacian in affine hypersurface theory....Pages 243-260 A class of symmetric functions and Chern classes of projective varieties....Pages 261-274 Essential invariant circles of surface automorphisms of finite order....Pages 275-285 Jones polynomial and the crossing number of links....Pages 286-288 On complete minimal surfaces with parallel and flat ends....Pages 289-294 Regularity of harmonic maps into certain homogeneous spaces....Pages 295-305 On infinitesimal deformations of surfaces in E 3 ....Pages 306-321 Local expressions of classical geometric elliptic operators....Pages 322-332 Volume of geodesic balls....Pages 333-338 On complete minimal immersion χ : RP 2 − { a, b } → R 3 with total curvature −10π....Pages 339-350 Local atiyah-singer index theorem for families of dirac operators....Pages 351-366
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