Differential Geometry and Related Topics: Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry in Honour of Professor Su Buchin on the Centenary of His Birth : Shanghai, China, September 19-23, 2001The International Conference on Modern Mathematics and the International Symposium on Differential Geometry, in honor of Professor Su Buchin on the centenary of his birth, were held in September 2001 at Fudan University, Shanghai, China. Around 100 mathematicians from China, France, Japan, Singapore and the United States participated. The proceedings cover a broad spectrum of advanced topics in mathematics, especially in differential geometry, such as some problems of common interest in harmonic maps, submanifolds, the Yang -- Mills field and the geometric theory of solitons. |
Contents
Preface | 1 |
Asymptotic behavior of YangMills flow in higher dimensions | 16 |
The essential spectrum on complete noncompact Riemannian | 39 |
On mathematical ship lofting | 64 |
The Darboux transformation and local isometric immersions | 91 |
On the Nirenberg problem | 107 |
Periodic mean curvature and Bézier curves | 135 |
Common terms and phrases
asymptotic Bäcklund balls boundary value Cayley transform Chen complex manifolds complex structure condition constant scalar curvature coordinates Corollary defined denote Differential Geometry dimension du² dv² En+1 equivariant Euclidean space finite function Gaussian curvature geodesic Guo Ben-yu half space model harmonic map Hence Hensel lift Hermitian symmetric holomorphic hyperbolic spaces hypersurfaces ideal boundary inequality integrable isometric immersions k-step Carnot space Kähler manifold Lemma Lie algebra Lie group Math mean curvature metric g Möbius metric monic polynomial n₁ n₂ nilmanifolds nilpotent noncompact nonlinear Schrödinger equation normal bundle numbers obtain profile curve proof proper harmonic map Proposition proved R₁ real hyperbolic Riemannian manifold satisfies scalar curvature sectional curvature solution solvable spectral method submanifolds subspace surface of revolution symmetric space symplectic manifold tangent Theorem 3.1 vector Wang Yang-Mills connection Yang-Mills flow