Conformal changes of riemannian metrics satisfying certain conditions |
| |
Authors: | Kentaro Yano Hitosi Hiramatu |
| |
Institution: | (1) Tokyo, Japan;(2) Kumamoto, Japan |
| |
Abstract: | Summary The authors try to find necessary and sufficient conditions for the existence of conformal changes of metrics of Riemannian
manifolds which implies that the Riemannian manifolds are isometric to spheres. They first obtain a series of integral inequalities
in Riemannian manifolds relative to conformal changes of metrics and then find necessary and sufficient conditions under which
the Riemannian manifolds are isometric to spheres.
Entrata in Redazione il 14 giugno 1976. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |