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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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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Bounds for Eigenvalues of q-Laplacian on Contact Submanifolds of Sasakian Space Forms
Mathematics, 2023 This study establishes new upper bounds for the mean curvature and constant sectional curvature on Riemannian manifolds for the first positive eigenvalue of the q-Laplacian.
Yanlin Li +4 more
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Frontiers in Physics, 2022 This study attempts to establish new upper bounds on the mean curvature and constant sectional curvature of the first positive eigenvalue of the ψ − Laplacian operator on Riemannian manifolds.
Ali H. Alkhaldi +3 more
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On the Geometry of Biharmonic Submanifolds in Sasakian Space Forms [PDF]
, 2012 10 pages; Proposition 3.10 was improved; Contribution to the Proceedings of the 10-th International Conference on Geometry, Integrability and Quantization, Varna 2008 ...
Fetcu, Dorel, Oniciuc, Cezar
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Real hypersurfaces of indefinite Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1993 We show the existence of ( ϵ )-almost contact metric structures and give examples of ( ϵ )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field.
A. Bejancu, K. L. Duggal
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On interpolating sesqui-harmonic Legendre curves in Sasakian space forms
, 2020 We consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms. We find the necessary and sufficient conditions for Legendre curves in Sasakian space forms to be interpolating sesqui-harmonic. Finally, we obtain a proper example for an
Özgür, Cihan +2 more
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An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
Mathematics, 2023 In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi +3 more
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Reilly-type inequality for the Φ-Laplace operator on semislant submanifolds of Sasakian space forms
Journal of Inequalities and Applications, 2022 This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature.
Yanlin Li +3 more
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SOME RESULTS ON A GENERALIZED SASAKIAN-SPACE-FORM ADMITTING TRANS-SASAKIAN STRUCTURE WITH RESPECT TO A GENERALIZED TANAKA WEBSTER OKUMURA CONNECTION [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 The object of the present paper is to study generalized Sasakian-spaceforms admitting trans-Sasakian structure with respect to a generalized Tanaka Webster Okumura connection. Locally \phi-symmetric as well as \eta- recurrent generalized Sasakian space-
ALI AKBAR, AVIJIT SARKAR
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