On Quasi-Conformally Recurrent Manifolds with Harmonic Quasi-Conformal Curvature Tensor
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초록
The main objective of the paper is to provide a full classi cation of quasiconformally recurrent Riemannian manifolds with harmonic quasi-conformal curvature tensor. Among others it is shown that a quasi-conformally recurrent manifold with harmonic quasi-conformal curvature tensor is any one of the following: (i) quasi-conformally symmetric, (ii) conformally at, (iii) manifold of constant curvature, (iv) vanishing scalar curvature, (v) Ricci recurrent.
Abstract
The main objective of the paper is to provide a full classi cation of quasiconformally recurrent Riemannian manifolds with harmonic quasi-conformal curvature tensor. Among others it is shown that a quasi-conformally recurrent manifold with harmonic quasi-conformal curvature tensor is any one of the following: (i) quasi-conformally symmetric, (ii) conformally at, (iii) manifold of constant curvature, (iv) vanishing scalar curvature, (v) Ricci recurrent.
참고문헌 (16)
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