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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
wiley +1 more source
CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection [PDF]
, 2016 The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection.
Shamsur Rahman
core +3 more sources
ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2002 A Riemannian manifold \((M,g)\) is called generalized Ricci-recurrent if there exist \(1\)-forms \(A\) and \(B\) such that its Ricci tensor satisfies \(\nabla_X \text{Ric}(Y,Z)= A(X) \text{Ric}(Y,Z)+B(X)g(Y,Z)\). The authors study generalized Ricci-recurrent manifolds which are in addition trans-Sasakian, and give a local classification of these in ...
Kim, Jeong-Sik +2 more
openaire +1 more source
On weakly symmetric generalized trans-sasakian manifold [PDF]
, 2014 In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\) and it has been shown that on such manifold if any two of the vector fields \(\lambda,\gamma,\tau\), defined by equation (0.3) are orthogonal to \(\xi ...
Das, Levejoy S. +2 more
core +1 more source
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
doaj +1 more source
Results in Physics, 2021 Static spaces (with perfect fluids) appeared in a natural way both in physics (cf. Hawking and Ellis, 1975) and mathematics (cf. A. Fischer and J. Marsden, Duke Math. J. 42 (3) (1975), 519–547).
Ibrahim Al-Dayel +2 more
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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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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
core +1 more source
Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds [PDF]
Journal of HyperstructuresOur focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds.
Shamsur Rahman
doaj +1 more source
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
openaire +2 more sources