an:05548461
Zbl 1184.53022
??zen Zengin, F??sun; Altay Demirbag, Sezgin
On weakly and pseudo concircular symmetric structures on a Riemannian manifold
EN
Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 47, 129-138 (2008).
00244150
2008
j
53B20 53B15
weakly symmetric manifold; pseudo symmetric manifold; totally umbilical; totally geodesic; mean curvature; scalar curvature
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 Hiric?? (Bucure??ti)