NATURAL GENERALIZATIONS OF LOCALLY SYMMETRICAL SPACES

Authors
CHO JT
Citation
Jt. Cho, NATURAL GENERALIZATIONS OF LOCALLY SYMMETRICAL SPACES, Indian Journal of Pure and Applied Mathematics, 24(4), 1993, pp. 231-240
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
24
Issue
4
Year of publication
1993
Pages
231 - 240
Database
ISI
SICI code
0019-5588(1993)24:4<231:NGOLSS>2.0.ZU;2-D
Abstract
Berndt and Vanhecke1 have introduced two new classes of Riemannian man ifolds (C-spaces and B-spaces) including locally symmetric spaces. On one hand, a Riemannian manifold satisfying the condition R(X, Y) . R = 0 is called a semi-symmetric space. A locally symmetric space is nece ssarily a semi-symmetric space. In this paper, we shall study semi-sym metric B-spaces (resp. C-spaces).