Differential Geometry and Related Topics : Proceedings of the International Conference and Modern Mathematics and the International Symposium on Differential Geometry

by Chaohao, Gu; Hesheng, Hu; Tatsien, Li

• ISBN13: 9789812381880
• ISBN10: 9812381880
• Format: Hardcover
• Copyright: 2002-12-01
• Publisher: World Scientific Pub Co Inc

Summary

The 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.

Table of Contents

Preface	v
The Mobius equivalent isothermic surfaces in S3(1) and Backlund transformations	1	(15)
J. H. Chen
W. H. Chen
Asymptotic behavior of Yang-Mills flow in higher dimensions	16	(23)
Y. M. Chen
C. L. Shen
Q. Zhou
The essential spectrum on complete noncompact Riemannian manifolds with asymptotically nonnegative radial Ricci curvature	39	(9)
Z. H. Chen
C. H. Zhuo
Complete submanifolds in Euclidean spaces with constant scalar curvature	48	(16)
Q. M. Cheng
On mathematical ship lofting	64	(4)
G. C. Dong
A. X. Hong
Z. C. Liu
Some developments in spectral methods for nonlinear partial differential equations in unbounded domains	68	(23)
B. Y. Guo
The Darboux transformation and local isometric immersions of space forms	91	(16)
Q. He
Y. B. Shen
On the Nirenberg problem	107	(28)
M. Ji
Periodic mean curvature and Bezier curves	135	(12)
K. Kenmotsu
Almost complex manifolds and a differential geometric criterion for hyperbolicity	147	(10)
S. Kobayashi
Thom isomorphism of equivariant cohomology	157	(9)
X. M. Mei
Horizontally conformal F-harmonic maps	166	(8)
X. H. Mo
C. H. Yang
Harmonic maps between Carnot spaces	174	(30)
S. Nishikawa
Harmonic cohomology groups on compact symplectic nilmanifolds	204	(12)
Y. Sakane
T. Yamada
A survey of complete manifolds with bounded radial curvature function	216	(11)
K. Shiohama
Yang-Mills connections over compact symplectic manifolds	227	(10)
H. Urakawa
Nonlinear Schrodinger systems associated with Hermitian symmetric Lie algebras	237	(13)
H. Y. Wang
On the Hensel lift of a polynomial	250	(7)
Z. X. Wan
Some advances related particle systems --- Estimation for eigenvalue and new φ4 2 field	257	(7)
S. J. Yan
A note on locally real hyperbolic space with finite volume	264	(8)
Y. H. Yang
Interesting properties of the sets: N2(12, 22, 32, . . .), N3(13, 23, 33, . . .) and N4(14, 24, 34, . . .)	272	(7)
Y. Q. Ye
List of participants	279