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On Recurrent Riemannian Manifolds
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Abstract
Recurrent spaces have been of great interest and were studied by a large num-ber of authors such as Ruse ([3]), Patterson ([2]), Singh and Khan ([4], [5]) etc. In this paper, I have discussed the nature of 1-form for non-zero constant scalar curvature and non-constant scalar curvature r in a Ricci recurrent Riemannian manifold. I have obtained some results for conharmonic curvature tensor and also investigated some results for (1,3) type tensors in a Riemannian manifold.
참고문헌 (5)
- "Some theorems on Ricci-recurrent space", 27, pp.297~295 (1952)
- "Proc. Lond. Math. Soc.", 50 2, pp.438~446 (1947)
- "On generalized r-recurrent Riemannian manifolds", 49(2), pp.127~136 (1998)
- "On generalized recurrent Riemannian manifolds", pp.1~9 (1999), Publ. Math.Debrceen
- "On Symmetric Riemannian manifolds", 29(3), pp.300~308 (1999)
관련 논문AI추천
On Generalized Recurrent Sasakian ManifoldsQuddus Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제2호Conformally Recurrent Riemannian Manifolds with Harmonic Conformal Curvature TensorJin Ok Baek, Jung-Hwan Kwon, Young Jin Suh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호On generalized Ricci-recurrent trans-Sasakian manifolds김정식, Mukut Mani Tripathi, Rajendra Prasad대한수학회 · 대한수학회지2002 · 제39권 제6호On Generalized Quasi Einstein ManifoldsG. C. Ghosh, U. C. De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호On $N(k)$-quasi Einstein manifolds김정식, Mukut Mani Tripathi대한수학회 · 대한수학회논문집2007 · 제22권 제3호Geometry of a semi-symmetric recurrent metric connection김재만대한수학회 · 대한수학회논문집2023 · 제38권 제4호
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