Results 31 to 40 of about 953,557 (132)
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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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton. First, on a complete shrinking Ricci soliton, we show that the scalar curvature satisfying a certain inequality gives a characterization of a trivial Ricci soliton. Then, it is
Sharief Deshmukh +3 more
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Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds [PDF]
, 2016 summary:The object of the present paper is to study $\xi $-projectively flat and $\phi $-projectively flat 3-dimensional connected trans-Sasakian manifolds.
De, Krishnendu, De, Uday Chand
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On pseudo-slant submanifolds of trans-Sasakian manifolds; pp. 1–11 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The object of the present paper is to study pseudo-slant submanifolds of trans-Sasakian manifolds. Integrability conditions of the distributions on these submanifolds are worked out.
Uday Chand De, Avijit Sarkar
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On η-Einstein Trans-Sasakian Manifolds
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 On η-Einstein Trans-Sasakian ManifoldsA systematic study of η-Einstein trans-Sasakian manifold is performed. We find eight necessary and sufficient conditions for the structure vector field ζ of a trans-Sasakian manifold to be an eigenvector field of the Ricci operator. We show that for a 3-dimensional almost contact metric manifold (M,φ, ζ, η, g), the
Al-Solamy, Falleh R. +2 more
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A study on magnetic curves in trans-Sasakian manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic ...
Bozdağ Şerife Nur
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On the geometry of nearly trans-Sasakian manifolds
Turkish Journal of Mathematics, 2023 The geometry of nearly trans-Sasakian manifolds is researched in this paper. The complete group of structural equations and the components of the Lee vector on the space of the associated $G$-structure are obtained for such manifolds. Conditions are found under which a nearly trans-Sasakian structure is a trans-Sasakian, a cosymplectic, a closely ...
Rustanov, Aligadzhi R. +2 more
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ON THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION [PDF]
, 2021 In the present paper, we study three-dimensional trans-Sasakian manifolds admitting the Schouten-van Kampen connection. Also, we have proved some results on $\phi$-projectively flat, $\xi-$projectively flat and $\xi-$concircularly flat three ...
Mondal, Ashis
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η-Ricci Solitons on 3-dimensional Trans-Sasakian Manifolds
Cubo, 2020 In this paper, we study \( \eta \)-Ricci solitons on 3-dimensional trans-Sasakian manifolds. Firstly we give conditions for the existence of these geometric structures and then observe that they provide examples of \( \eta \)-Einstein manifolds.
Sampa Pahan
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Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 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. First we study the general theory for lightlike hypersurfaces of indefinite trans‐Sasakian manifold of type (α, β ...
Dae Ho Jin, Dimitris Fotakis
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