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On weakly and pseudo concircular symmetric structures on a Riemannian manifold. (English) Zbl 1184.53022
The authors study the notions of weakly concircular symmetric and pseudo concircular symmetric Riemannian manifolds which extends the concepts of weakly symmetric and pseudo symmetric Riemannian manifolds considered by L. Tamassy, T. Binh and M.C. Chaki. Totally umbilical and totally geodesic hypersurfaces of these special spaces are characterized. Also an example of a weakly concircular symmetric Riemann manifold is given.
MSC:
53B20Local Riemannian geometry
53B15Other connections