Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature [PDF]
Entropy, 2018 In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties. We establish some inequalities involving the normalized δ-Casorati
Simona Decu +3 more
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On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]
Journal of Hyperstructures, 2023 The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
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A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds [PDF]
Journal of Hyperstructures, 2023 Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds.
Shamsur Rahman, Amit Kumar Rai
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On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
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An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not.
Gauree Shanker, Ankit Yadav
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Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds
International Journal of Analysis and Applications, 2022 In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman +2 more
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H-Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)
Mathematics, 2020 H-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that, in the homogeneous nearly
Miroslava Antić +2 more
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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On stability of Hermitian structures on 6-dimensional planar submanifolds of Cayley algebra
Дифференциальная геометрия многообразий фигур, 2021 We consider 6-dimensional planar submanifolds of Cayley algebra. As it is known, the so-called Brown — Gray three-fold vector cross products induce almost Hermitian structures on such submanifolds. We select the case when the almost Hermitian structures
M.B. Banaru, G.A. Banaru
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Geometry of warped product pseudo slant submanifolds in nearly Lorentzian para Sasakian Manifold [PDF]
Journal of Hyperstructures, 2023 The object of the present paper is to study Lorentzian para-Sasakian manifold on a pseudo slant submanifold and usingsome properties like warped product on manifolds, totally geodesic foliation, integrability on the properties of nearly Lorentzian para ...
Shamsur Rahman, Avijit Kumar Paul
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