Results 1 to 10 of about 91 (72)
Warped Product Submanifolds of LP-Sasakian Manifolds [PDF]
Discrete Dynamics in Nature and Society, 2012 We study of warped product submanifolds, especially warped product hemi-slant submanifolds of LP-Sasakian manifolds. We obtain the results on the nonexistance or existence of warped product hemi-slant submanifolds and give some examples of LP-Sasakian ...
S. K. Hui +3 more
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On Almost Generalized Weakly Symmetric LP-Sasakian Manifolds [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds.
Baishya Kanak Kanti +1 more
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On Ricci solitons in LP-Sasakian manifolds [PDF]
Bibechana, 2020 In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking.
Riddhi Jung Shah
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Conformal η-Ricci-Yamabe Solitons within the Framework of ϵ-LP-Sasakian 3-Manifolds
Advances in Mathematical Physics, 2022 In the present note, we study ϵ-LP-Sasakian 3-manifolds M3ϵ whose metrics are conformal η-Ricci-Yamabe solitons (in short, CERYS), and it is proven that if an M3ϵ with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if
Abdul Haseeb, Meraj Ali Khan
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Sesqui-Harmonic Curves in LP-Sasakian Manifolds
Universal Journal of Mathematics and Applications, 2021 In this article, we characterize interpolating sesqui-harmonic spacelike curves in a four dimensional conformally and quasi-conformally flat and conformally symmetric Lorentzian Para-Sasakian manifold. We give some theorems for these curves.
Müslüm Aykut Akgün, Bilal Eftal Acet
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Mathematics, 2023 The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar +3 more
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EXISTENCE OF A PRODUCT SUB MANIFOLD OF AN LP-SASAKIAN MANIFOLD WITH A COEFFICIENT α
Bulletin of the Korean Mathematical Society, 2003 Summary: A Lorentzian paracontact manifold \((M,\varphi,\xi,\eta, g)\) is called LP-Sasakian with coefficient \(\alpha\) if there exists a smooth function \(\alpha\) on \(M\) such that \[ (\nabla_Z\Phi) (X,Y)= \alpha \bigl(g (\varphi X,\varphi Z)\eta(Y)+g(\varphi Y,\varphi Z)\eta(X) \bigr), \quad\Phi(X,Y)= \frac{1}{\alpha} (\nabla_X\eta)Y, \] for any ...
Sengupta, A. K., De, U. C., Jun, J. B.
exaly +4 more sources
Geometry of LP-Sasakian Manifolds Admitting a General Connection
MathematicsThis paper concerns certain properties of projective curvature tensor, conharmonic curvature tensor, quasi-conharmonic curvature tensor, and Ricci semi-symmetric conditions with respect to the general connection in an LP-Sasakian manifold.
Rajesh Kumar +3 more
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Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami +2 more
wiley +2 more sources
A Note on LP‐Sasakian Manifolds with Almost Quasi‐Yamabe Solitons
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We categorize almost quasi‐Yamabe solitons on LP‐Sasakian manifolds and their CR‐submanifolds whose potential vector field is torse‐forming, admitting a generalized symmetric metric connection of type (α, β). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav +3 more
wiley +1 more source