Results 21 to 30 of about 1,828 (149)
On phi-recurrent generalized Sasakian-space-forms [PDF]
, 2013 We show that there is no phi-recurrent generalized Sasakian-space-forms, when is a non-zero constant.
E. Peyghan, Akbar Tayebi
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A Closed Form for Slant Submanifolds of Generalized Sasakian Space Forms [PDF]
Mathematics, 2019 The Maslov form is a closed form for a Lagrangian submanifold of C m , and it is a conformal form if and only if M satisfies the equality case of a natural inequality between the norm of the mean curvature and the scalar curvature, and it happens if and only if the second fundamental form satisfies a certain relation.
Pablo Alegre +2 more
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On Quasi-Conformally Flat Generalized Sasakian-Space Forms
Fundamentals of Contemporary Mathematical Sciences, 2022 In this paper, we classify quasi-conformally flat generalized Sasakian-space forms under the assumption that the characteristic vector field is Killing. Also we classify quasi-conformally Weyl-symmetric generalized Sasakian-space forms.
Ahmet Yıldız
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Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface
Kyungpook mathematical journal, 2015 An indefinite almost contact metric manifold \((\tilde M, \varphi, \xi, \theta, \tilde{g})\) is called an indefinite generalized Sasakian space \(\tilde M (f_1, f_2, f_3)\) if there exist three smooth functions \(f_i, i =1,2,3,\) on \(\tilde M\) such that \[ \begin{aligned}\tilde R (X, Y )Z &= f_1 \{ \tilde{g} (Y, Z)X - \tilde{g}( X, Z)Y \} +\\ & f_2 \{
Dae Ho Jin
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Invariant Submanifolds of Generalized Sasakian-Space-Forms
Communications on Applied Nonlinear AnalysisThe new characterizations of invariant submanifolds of generalized Sasakian-space forms (SSF) in terms of their behavior with respect to the various curvature tensors are obtained in this work. By examining the connections between these submanifolds' second fundamental form σ and certain curvature tensors Wi with i = 2, 3, 4, 6, 7, we derive ...
Subhas C. Nandy
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Generalized sasakian space forms and trans-sasakian manifolds [PDF]
, 2012 Summary: 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.
G. Somashekhara, H. G. Nagaraja
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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, 2021 In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi +3 more
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A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
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Tamkang Journal of Mathematics, 2021 The object of this paper is to study symmetric properties of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka–Webster connection. We studied semisymmetry and Ricci semisymmetry of Sasakian generalized Sasakian-space-form with respect to generalized Tanaka–Webster connection. Further we obtain results for Ricci pseudosymmetric
Chawngthu Lalmalsawma, Jay Prakash Singh
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