|
|||||
|
|
Rigidity of Noncompact Finsler Manifolds |
|
| Authors: | Chang-Wan Kim Jin-Whan Yim |
| Institution: | (1) Department of Mathematics, Korea Advanced Institute of Science and Technology, Gu-sung Dong, Yu-sung Gu, Taejon, 305–701, Republic of South Korea;(2) Department of Mathematics, Korea Advanced Institute of Science and Technology, Gu-sung Dong, Yu-sung Gu, Taejon, 305–701, Republic of South Korea |
| Abstract: | For a Euclidean space or a Minkowski space, we change the metric in a compact subset and show that the resulting Finsler manifold is isometric to the original standard space under certain conditions. We assume that the mean tangent curvature vanishes and the metric satisfies some curvature conditions or have no conjugate points. |
| Keywords: | Finsler manifolds rigidity open manifolds |
| 本文献已被 SpringerLink 等数据库收录！ | |