Results 1 to 10 of about 275 (150)
Generalized Lorentzian Sasakian-Space-Forms with
Mathematics, 2022 In this note, the generalized Lorentzian Sasakian-space-form M12n+1(f1,f2,f3) satisfying certain constraints on the M-projective curvature tensor W* is considered.
D. G. Prakasha +3 more
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Inequalities on Generalized Sasakian Space Forms [PDF]
Journal of Function Spaces, 2021 In this paper, we find the second variational formula for a generalized Sasakian space form admitting a semisymmetric metric connection. Inequalities regarding the stability criteria of a compact generalized Sasakian space form admitting a semisymmetric ...
Najma Abdul Rehman +4 more
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Sasakian immersions of Sasaki-Ricci solitons into Sasakian space forms [PDF]
Journal of Geometry and Physics, 2021 Let $(g,X)$ be a Sasaki-Ricci soliton on a Sasakian manifold $S$. We prove that if $(S,g)$ admits a local Sasakian immersion in a Sasakian space form $S(N,c)$ of constant $ϕ$-sectional curvature $c$, then $S$ is $η$-Einstein and its $η$-Einstein constants are rational. Moreover, if $c\leq -3$, $S$ is locally equivalent to the Sasakian space form $S(n,c)
G Placini
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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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Some New Results on Trans-Sasakian Manifolds [PDF]
Journal of Mathematics, 2022 In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
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Immersions into Sasakian space forms [PDF]
Mathematische Zeitschrift, 2023 AbstractWe study immersions of Sasakian manifolds into finite and infinite dimensional Sasakian space forms. After proving Calabi’s rigidity results in the Sasakian setting, we characterise all homogeneous Sasakian manifolds which admit a (local) Sasakian immersion into a nonelliptic Sasakian space form.
G Placini, Marco Zedda
exaly +8 more sources
A Closed Form for Slant Submanifolds of Generalized Sasakian Space Forms [PDF]
Mathematics, 2019 The Maslov form is a closed form for a Lagrangian submanifold of C m , and it is a conformal form if and only if M satisfies the equality case of a natural inequality between the norm of the mean curvature and the scalar curvature, and it happens if and only if the second fundamental form satisfies a certain relation.
Pablo Alegre +2 more
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Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection [PDF]
Journal of Mathematics, 2023 This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection.
Ibrahim Al-Dayel +2 more
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Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms [PDF]
Axioms, 2022 In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li +3 more
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Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Journal of Taibah University for Science, 2020 Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui +2 more
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