Results 11 to 20 of about 1,828 (149)
Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms [PDF]
Journal of Applied Mathematics, 2015 We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans-Sasakian structure of type (α,β), subject to the condition that the structure vector field of M- is tangent to M.
Dae Ho Jin
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INDEFINITE GENERALIZED SASAKIAN SPACE FORM ADMITTING A GENERIC LIGHTLIKE SUBMANIFOLD [PDF]
Bulletin of the Korean Mathematical Society, 2014 The geometry of an indefinite generalized Sasakian space form \(\bar{M}(f_1,f_2,f_3)\) admitting a generic light-like submanifold \(M\) such that the structure vector field \(\zeta\) of \(\bar{M}(f_1,f_2,f_3)\) is tangent to the submanifold is studied. A classification theorem of such an indefinite generalized Sasakian space form is given.
Dae Ho Jin
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SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS [PDF]
Taiwanese Journal of Mathematics, 2009 Plan Andaluz de Investigación (Junta de Andalucía)
Pablo Alegre, Alfonso Carriazo
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Bi-$f$-Harmonic Legendre Curves on $(\alpha,\beta)$-Trans-Sasakian Generalized Sasakian Space Forms
Journal of New TheoryIn this study, we consider bi-$f$-harmonic Legendre curves on $(\alpha,\beta)$-trans-Sasakian generalized Sasakian space form. We provide the necessary and sufficient conditions for a Legendre curve to be bi-$f$-harmonic on $(\alpha,\beta)$-trans ...
Feyza Esra Erdoğan +2 more
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Invariant Submanifolds of Sasakian Generalized-Sasakian-Space-Forms [PDF]
, 2019 11 ...
D. G. Prakasha +3 more
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Invariant submanifolds of generalized Sasakian-space-forms [PDF]
International Journal of Geometric Methods in Modern Physics, 2018 This paper deals with the study of invariant submanifolds of generalized Sasakian-space-forms with respect to Levi-Civita connection as well as semi-symmetric metric connection. We provide an example of such submanifolds and obtain many new results including the necessary and sufficient conditions under which the submanifolds are totally geodesic.
Shyamal Kumar Hui +3 more
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Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms
Advances in Mathematical Physics, 2019 In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci ...
Rongsheng Ma, Donghe Pei
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QUASI-CONFORMAL CURVATURE TENSOR OF GENERALIZED SASAKIAN-SPACE-FORMS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 The present paper deals the study of generalised Sasakian-space-forms with the conditions Cq(ξ,X).S = 0, Cq(ξ,X).R = 0 and Cq(ξ,X).Cq = 0, where R, S and Cq denote Riemannian curvature tensor, Ricci tensor and quasi-conformal curvature tensor of the space-form, respectively and at last, we have given some examples to improve our results.
B. B. Chaturvedi, B. K. Gupta
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Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We introduce generalized Sasakian space forms with semi-symmetric non-metric connections. We show the existence of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by warped products endowed with semi ...
Sibel Sular, Cihan Özgür
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W8 - Curvature Tensor in Generalized Sasakian Space Forms
Ratio Mathematica, 2023 The generalized Sasakian-space-forms and their properties have been examined by various researchers such as Alegre and Carriazo [2008], Prakasha [2012], Sarkar and Akbar [2014], Shanmukha et al.
Gyanvendra Pratap Singh +3 more
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