Symmetries of Sasakian generalized Sasakian-space-form admitting generalized Tanaka-Webster connection. (English) Zbl 1483.53032
Summary: The object of this paper is to study certain symmetric properties of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka-Webster connection. We studied semi-symmetry and Ricci semi-symmetry of Sasakian generalized Sasakian-spaceform with respect to generalized Tanaka-Webster connection. Further we obtain results for Ricci pseudosymmetric and Ricci-generalized pseudosymmetric Sasakian generalized Sasakian-space-form.
Keywords:
Sasakian manifolds; generalized Sasakian-space-form; generalized Tanaka-Webster connection; semi-symmetric manifolds; Ricci semi-symmetric manifolds; Ricci-generalized pseudosymmetric manifold; Ricci-pseudosymmetric manifoldReferences:
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