On weakly symmetric and weakly projective symmetric Riemannian manifolds. (English) Zbl 0791.53021

Tamássy, L.; Binh, T. Q.

Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 663-670 (1992).

The authors introduce the notions of weakly symmetric and weakly projective symmetric Riemannian manifolds generalizing the concepts of pseudo-symmetric and pseudo-projective symmetric Riemannian manifolds due to M. C. Chaki and S. K. Saha. The properties of these notions and special cases are investigated.
For the entire collection see [Zbl 0764.00002].

Reviewer: I.D.Albu (Timişoara)

MSC:

53B20

Local Riemannian geometry

Keywords:

weakly symmetric Riemannian manifold; weakly projective symmetric Riemannian manifolds