Homology groups in CR-warped products of complex space forms [PDF]
HeliyonIn the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li +4 more
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Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
Arab Journal of Mathematical Sciences, 2014 In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
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Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor
Mathematics, 2021 In the present paper, we study some properties of warped product pointwise semi-slant and hemi-slant submanifolds in Golden Riemannian manifolds, and we construct examples in Euclidean spaces.
Cristina E. Hretcanu, Adara M. Blaga
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
Journal of Hyperstructures, 2023 In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman +2 more
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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 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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Journal of Mathematics, 2021 In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh +3 more
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Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
Journal of Mathematics, 2021 In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li +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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Inequalities for the Class of Warped Product Submanifold of Para-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 The aim of this paper is to study the warped product pointwise semislant submanifolds in the para-cosymplectic manifold with the semi-Riemannian metric.
Fatemah Mofarreh +4 more
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