Results 91 to 100 of about 1,171 (162)
The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
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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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Degenerate Foliations in Sasakian Semi-Riemannian Manifolds [PDF]
In the Semi-Riemannian case we do not have the liability of the existence of such a metric being a difference from the Riemannian case. A Semi-Riemannian manifold provided with a normal contact metric structure is called Sasakian manifold.Semi-Riemannian,
Catalin Angelo Ioan
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AxiomsIn the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed +4 more
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A Study on Contact Metric Manifolds Admitting a Type of Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.The principal aim of the present article is to characterize certain properties of η‐Ricci–Bourguignon solitons on three types of contact manifolds, that are K‐contact manifolds, (κ, μ)‐contact metric manifolds, and N(κ)‐contact metric manifolds. It is shown that if a K‐contact manifold admits an η‐Ricci–Bourguignon soliton whose potential vector field ...
Tarak Mandal +4 more
wiley +1 more source
A General Type of Almost Contact Manifolds [PDF]
Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors.
Catalin Angelo Ioan
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Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2012 We introduce and study generalized transversal lightlike submanifold of indefinite Sasakian manifolds which includes radical and transversal lightlike submanifolds of indefinite Sasakian manifolds as its trivial subcases.
Yaning Wang, Ximin Liu
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On contact CR‐submanifolds of sasakian manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 Recently, K.Yano and M.Kon [5] have introduced the notion of a contact CR‐submanifold of a Sasakian manifold which is closely similar to the one of a CR‐submanifold of a Kaehlerian manifold defined by A. Bejancu [1].In this paper, we shall obtain some fundamental properties of contact CR‐submanifolds of a Sasakian manifold. Next, we shall calculate the
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Conformal Ricci Soliton in Lorentzian $\alpha $-Sasakian Manifolds [PDF]
, 2016 summary:In this paper we have studied conformal curvature tensor, conharmonic curvature tensor, projective curvature tensor in Lorentzian $\alpha $-Sasakian manifolds admitting conformal Ricci soliton. We have found that a Weyl conformally semi symmetric
BHATTACHARYYA, Arindam +2 more
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Nilpotent Aspherical Sasakian Manifolds
International Mathematics Research NoticesAbstract We show that every compact aspherical Sasakian manifold with nilpotent fundamental group is diffeomorphic to a Heisenberg nilmanifold.
Antonio De Nicola, Ivan Yudin
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