Results 61 to 70 of about 1,722 (148)
On an (ε,δ)-trans-Sasakian structure; pp. 20–28 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 In this paper we investigate (ε,δ)-trans-Sasakian manifolds which generalize the notion of (ε)-Sasakian and (ε)-Kenmotsu manifolds. We prove the existence of such a structure by an example and we consider Ï-recurrent, pseudo-projectively flat and ...
Halammanavar G. Nagaraja +2 more
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Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds [PDF]
Results in Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection
Axioms, 2023 In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized normalized δ-Casorati ...
Mohd Danish Siddiqi, Ali H. Hakami
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The Sasaki Join, Hamiltonian 2-forms, and Constant Scalar Curvature [PDF]
, 2015 We describe a general procedure for constructing new Sasaki metrics of constant scalar curvature from old ones. Explicitly, we begin with a regular Sasaki metric of constant scalar curvature on a 2n+1-dimensional compact manifold M and construct a ...
Charles P. Boyer +2 more
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Da‐Homothetic Deformation of K‐Contact Manifolds
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 We study Da‐homothetic deformations of K‐contact manifolds. We prove that Da‐homothetically deformed K‐contact manifold is a generalized Sasakian space form if it is conharmonically flat. Further, we find expressions for scalar curvature of Da‐homothetically deformed K‐contact manifolds.
H. G. Nagaraja +3 more
wiley +1 more source
Kählerian Manifold on the Product of Two Trans-Sasakian Manifolds
International Electronic Journal of Geometry, 2020 It's shown that for some changes of metrics and structural tensors, the product of two Trans-Sasakian manifolds is a K\"{a}hlerian manifold. This gives a new positive answer and more generally to Blair-Oubi$\tilde{n}$a's open question (see [7] and [17]). Concrete examples are given.
Bouzir Habib, Beldjılalı Gherici
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Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance this geometrical analysis with some specific cases, namely Clairaut
Mohd Danish Siddiqi +2 more
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Certain Results on Ricci Solitons in α‐Sasakian Manifolds
Geometry, Volume 2013, Issue 1, 2013., 2013 We study Ricci solitons in α‐Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field. Further, we prove that if V is conformal Killilng vector field, then the Ricci soliton in 3‐dimensional α‐Sasakian manifolds is shrinking or expanding but cannot be steady.
S. R. Ashoka +3 more
wiley +1 more source
Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds
International Journal of Analysis and Applications, 2017 We study Ricci solitons in (ε,δ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ε,δ)-trans-Sasakian manifold is a constant multiple of the metric tensor.
C.S. Bagewadi, Gurupadavva Ingalahalli
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Constructions in Sasakian Geometry
, 2007 We describe various constructions in Sasakian geometry. First we generalize the join construction of the first two authors to arbitrary Sasakian manifolds.
Boyer, Charles P. +2 more
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