We introduce a type of non-flat Riemannian manifolds called weakly cyclic Ricci symmetric manifolds and study their geometric properties. The existence of such manifolds is shown by several non-trivial examples.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-3-4,
author = {A. A. Shaikh and Sanjib Kumar Jana},
title = {On weakly cyclic Ricci symmetric manifolds},
journal = {Annales Polonici Mathematici},
volume = {89},
year = {2006},
pages = {273-288},
zbl = {1169.53027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-3-4}
}
A. A. Shaikh; Sanjib Kumar Jana. On weakly cyclic Ricci symmetric manifolds. Annales Polonici Mathematici, Tome 89 (2006) pp. 273-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-3-4/