Results 1 to 10 of about 122 (105)
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
doaj +11 more sources
Inequalities on Generalized Sasakian Space Forms
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
doaj +2 more sources
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
exaly +4 more sources
Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms
Mathematics, 2020 We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Alfonso Carriazo +2 more
doaj +3 more sources
ϕ-semisymmetric generalized Sasakian space-forms
Arab Journal of Mathematical Sciences, 2015 The object of the present paper is to study ϕ-Weyl semisymmetric and ϕ-projectively semisymmetric generalized Sasakian space-forms. Finally, illustrative examples are given.
U.C. De, Pradip Majhi
doaj +3 more sources
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
doaj +4 more sources
Generalized Sasakian-Space-Forms with Projective Curvature Tensor
Demonstratio Mathematica, 2014 The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-symmetric generalized Sasakian-space-forms.
Sarkar A., Akbar Ali
doaj +3 more sources
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
doaj +3 more sources
On Differential Equations Characterizing Legendrian Submanifolds of Sasakian Space Forms
Mathematics, 2020 In this paper, we give an estimate of the first eigenvalue of the Laplace operator on minimally immersed Legendrian submanifold N n in Sasakian space forms N ˜ 2 n + 1 ( ϵ ) . We prove that a minimal Legendrian submanifolds in
Rifaqat Ali +4 more
doaj +3 more sources
Generalized Sasakian Space Forms and Conformal Changes of the Metric
Results in Mathematics, 2011 The study of generalized Sasakian space forms is continued in this paper. The behavior of such spaces under generalized D-conformal deformations is analyzed. As a consequence, new examples of generalized Sasakian space forms are given.
Pablo Alegre +2 more
exaly +3 more sources