延边大学学报(自然科学版)
延邊大學學報(自然科學版)
연변대학학보(자연과학판)
JOURNAL OF YANBIAN UNIVERSITY(NATURAL SCIENCE EDITION)
2001年
3期
162-166
,共5页
曲率%扭积%流形
麯率%扭積%流形
곡솔%뉴적%류형
Curvature%Warped products%Manifold
研究了半黎曼流形上曲率张量和Ricci曲率的性质,并且给出了它们的扭积公式.
研究瞭半黎曼流形上麯率張量和Ricci麯率的性質,併且給齣瞭它們的扭積公式.
연구료반려만류형상곡솔장량화Ricci곡솔적성질,병차급출료타문적뉴적공식.
In this paper, we at first study properties for curvature tensors, Ricci curvature on the singly warped products on semi-Riemannian manifolds. And then, we establish the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and warped product on semi-Riemannian manifolds.