Some Curvature Properties of Generalized Complex Space Forms

Year 2019, Volume: 2 Issue: 1, 0 - 0, 30.04.2019

Pegah Mutlu

Abstract

The object of the present paper is to study generalized complex space forms satisfying curvature identities named Walker type identities. Also It is proved that the difference tensor R. ̃ – ̃.R and the Tachibana tensor Q(S, ̃) of any generalized complex space form M(f1, f2) of dimensional m ≥ 4 are linearly dependent at every point of M(f1, f2). Finally generalized complex space forms are studied under the condition R.R – Q(S,R) = L Q(g , ̃).

Keywords

Generalized complex space forms, Conharmonic curvature tensor, Walker type identity, Pseudosymmetric manifold, Tachibana Tensor

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