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Semi-Riemannian Generalized Sasakian Space Forms

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Alegre, Pablo, Carriazo, Alfonso
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On ϕ-recurrent generalized Sasakian-space-forms

Lobachevskii Journal of Mathematics, 2012
The authors study \(\phi\)-recurrent generalized Sasakian-space-forms, i.e. almost contact metric manifolds satisfying additional conditions for the curvature tensor. In particular, the curvature tensor of such manifolds is of the form \[ \begin{multlined} R(X,Y)Z = f_1(g(Y,Z)X-g(X,Z)Y)+f_2(g(X,\phi Z)\phi Y-g(Y,\phi Z)\phi X+2 g(X,\phi Y)\phi Z ...
Sarkar, A., Sen, Matilal
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Certain curvature conditions on generalized sasakian space-forms

Quaestiones Mathematicae, 2015
No ...
De, U.C., Yildiz, A
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Certain invariant submanifolds of generalized Sasakian-space-forms

Afrika Matematika, 2022
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Avijit Sarkar, Nirmal Biswas
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On three dimensional generalized Sasakian-space-forms

Journal of Geometry, 2017
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Majhi, Pradip, De, Uday Chand
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Semi-symmetric generalized Sasakian-space-forms

2023
Summary: We show that semi symmetric and pseudo symmetric generalized Sasakian-space-forms are Einstein when \((0, 6)\)-tensors satisfy \(R \cdot R = 0, R\cdot R = L_RQ(g,R), R\cdot C = 0, R\cdot C = L_CQ(g,C)\), and \(C \cdot C = 0\), where \(C\) is quasi conformal curvature tensor. Further we discuss about Ricci solitons.
Vidyavathi, K. R.   +2 more
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