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Zbl 1184.53022
Özen Zengin, Füsun; Altay Demirbag, Sezgin
On weakly and pseudo concircular symmetric structures on a Riemannian manifold. (English)
[J] Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 47, 129-138 (2008). ISSN 0231-9721

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.
[Iulia Hirică (Bucureşti)]

MSC 2000:: *53B20 Local Riemannian geometry
53B15 Other connections

Keywords: weakly symmetric manifold; pseudo symmetric manifold; totally umbilical; totally geodesic; mean curvature; scalar curvature

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