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/