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Sasakian Statistical Manifolds II
2017This article is a digest of [2, 3] with additional remarks on invariant submanifolds of Sasakian statistical manifolds.
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On a type of \(P\)-Sasakian manifold
1994Let \(M\) be a Riemannian manifold with a \(P\)-Sasakian structure \(\Sigma=(\phi,\xi,\eta, g)\). There is a tensor field \(W_2\) of type (1,3) on \(M\) defined as \[ g(W_2(X,Y)Z,U)=g(R(X,Y)Z,U)+\tfrac1{n-1}[g(X,Z)S(Y,U) -g(Y,Z)S(X,U)], \] where \(R\) and \(S\) are curvature and Ricci tensors on \(M\).
Ghosh, J. C., De, U. C.
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A Study of Conformal $$\eta$$-Einstein Solitons on Trans-Sasakian 3-Manifold
Journal of Nonlinear Mathematical Physics, 2022Yanlin Li +2 more
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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2023Mohammad Nazrul Islam Khan +2 more
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SASAKIAN STRUCTURE ON THE PRODUCT OF SASAKIAN AND KÄHLERIAN MANIFOLDS
JP Journal of Geometry and Topology, 2017Zegga, K. +2 more
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Generalized Sasakian space forms and trans-Sasakian manifolds
2012Summary: We study generalized Sasakian space forms and trans-Sasakian manifolds. We present results on generalized recurrent, generalized \(\phi\)-recurrent, \(\phi\)-concircular and \(\phi\)-conharmonically recurrent trans-Sasakian manifolds and generalized Sasakian space forms.
Somashekhara, G., Nagaraja, H. G.
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Sasakian and Cosymplectic Manifolds
2002In this chapter we define the normality of an almost contact structure and the notion of a Sasakian manifold as a normal contact metric manifold. We also introduce another important structure tensor, h, which will be useful in the study of non-Sasakian contact metric manifolds.
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∗-η-Ricci Soliton within the Framework of Sasakian Manifold
Journal of Dynamical Systems and Geometric Theories, 2020Santu Dey, Soumendu Roy
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2010
The object of the present paper is to study Para-Sasakianmanifolds satisfying certain conditions on the curvature tensor.
Yıldız, Ahmet +2 more
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The object of the present paper is to study Para-Sasakianmanifolds satisfying certain conditions on the curvature tensor.
Yıldız, Ahmet +2 more
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022Yanlin Li, Sumanjit Sarkar, Santu Dey
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