Results 21 to 30 of about 77 (59)
Some Results on Generalized Quasi‐Einstein Manifolds
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 This paper deals with generalized quasi‐Einstein manifold satisfying certain conditions on conharmonic curvature tensor. Here we study some geometric properties of generalized quasi‐Einstein manifold and obtain results which reveal the nature of its associated 1‐forms.
D. G. Prakasha +4 more
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Certain Results on Ricci Solitons in Trans‐Sasakian Manifolds
Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 We study and obtain results on Ricci solitons in trans‐Sasakian manifolds satisfying R(ξ,X)·C̃=0, P(ξ,X)·C̃=0, H(ξ, X) · S = 0, and C̃(ξ,X)·S=0, where C̃, P, and H are quasiconformal, projective, and conharmonic curvature tensors.
C. S. Bagewadi +2 more
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?-Einstein nearly Kenmotsu manifolds [PDF]
, 2019 In this paper, we showed that an eta-Einstein nearly Kenmotsu manifold with projective curvature tensor P, and conharmonic curvature tensor N, satisfy the conditions R(X, Y) . P = 0 and R(X, Y) . N = 0, respectively.
Tekin, Pelin, Aktan, Nesip
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On the M‐Projective Curvature Tensor of N(κ)‐Contact Metric Manifolds
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 The object of the present paper is to study some curvature conditions on N(κ)‐contact metric manifolds.
R. N. Singh +4 more
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Some Results on Super Quasi‐Einstein Manifolds
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 This paper deals with the study of super quasi‐Einstein manifolds admitting W2‐curvature tensor. The totally umbilical hypersurfaces of S(QE)n are also studied. Among others, the existence of such a manifold is ensured by a nontrivial example.
Shyamal Kumar Hui +4 more
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SOME TYPES OF η-RICCI SOLITONS ON LORENTZIAN PARA-SASAKIAN MANIFOLDS [PDF]
, 2018 In this paper we study some types of η-Ricci solitons on Lorentzianpara-Sasakian manifolds and we give an example of η-Ricci solitons on 3-dimensional Lorentzian para-Sasakian manifold. We obtain the conditions of η-Ricci soliton on ϕ-conformally flat,
Singh, Abhishek, Kishor, Shyam
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On Generalized Sasakian‐Space‐Forms
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 The purpose of the present paper is to characterize pseudoprojectively flat and pseudoprojective semisymmetric generalized Sasakian‐space‐forms.
H. G. Nagaraja +5 more
wiley +1 more source
On metric connections with torsion on the cotangent bundle with modified Riemannian extension [PDF]
, 2018 Let M be an n-dimensional differentiable manifold equipped with a torsion-free linear connection ? and T*M its cotangent bundle. The present paper aims to study a metric connection ? ~ with nonvanishing torsion on T*M with modified Riemannian extension g¯
Gezer, A. +5 more
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On the Conharmonic Curvature Tensor of Generalized Sasakian‐Space‐Forms
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 The object of the present paper is to characterize generalized Sasakian‐space‐forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, ξ‐conharmonically flat, and conharmonically recurrent generalized Sasakian‐space‐forms.
U. C. De +4 more
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Curvature Properties and η‐Einstein (k, μ)‐Contact Metric Manifolds
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 We study curvature properties in (k, μ)‐contact metric manifolds. We give the characterization of η‐Einstein (k, μ)‐contact metric manifolds with associated scalars.
H. G. Nagaraja +4 more
wiley +1 more source