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On n-symmetric and n-recurrent pseudo H-curvature tensors of a manifold \(M_ n\) equipped with KH-structure. (English) Zbl 0754.53018

Summary: R. S. Mishra, S. B. Pandey and U. Sharma [Indian J. Pure Appl. Math. 17, 1187-1195 (1986; Zbl 0608.53023)] have defined a pseudo \(H\)-projective \(n\)-recurrent and \(n\)-symmetric manifold \(M_{2m}\) equipped with a \(KH\)-structure. Further they have established the results of \(n\)-recurrency and \(n\)-symmetry of the pseudo \(H\)-projective curvature tensor of \(M_{2m}\). In this paper we study the \(n\)-symmetric and \(n\)- recurrent properties of the pseudo \(H\)-conformal, pseudo \(H\)-conharmonic and pseudo \(H\)-concircular curvature tensors of a manifold \(M_ n\) equipped with a \(KH\)-structure.

MSC:

53B20 Local Riemannian geometry

Citations:

Zbl 0608.53023