Results 11 to 20 of about 468 (64)
Generalized Contact Bundles [PDF]
, 2016 In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the ...
Vitagliano, Luca, Wade, Aïssa
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On invariants of almost symplectic connections [PDF]
, 2011 We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-like tensors is given.
A Nannicini +12 more
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Totally geodesic property of the unit tangent sphere bundle with g-natural metrics
Acta Universitatis Sapientiae: Mathematica, 2018 In this paper, we consider the tangent bundle of a Riemannian manifold (M, g) with g-natural metrics and among all of these metrics, we specify those with respect to which the unit tangent sphere bundle with induced g-natural metric is totally geodesic ...
Peyghan Esmaeil, Firuzi Farshad
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Ricci solitons on almost Kenmotsu 3-manifolds
Open Mathematics, 2017 Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
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Pseudo-slant submanifolds in cosymplectic space forms
Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally ...
Dirik Süleyman, Atçeken Mehmet
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A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors
Open Mathematics, 2016 Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
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D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton
Annales Mathematicae Silesianae, 2019 In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains ...
Kumar D.L. Kiran, Nagaraja H.G., Venu K.
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A Study of W2 - Curvature Tensor of a N(k) - Quasi Einstein Manifold
, 2015 In this paper, the study of W2 -curvature tensor in N(k) -quasi Einstein manifold satisfying W2(E,X).W2 = 0 is carried out. Mathematics subject is classification : 53C25, 53D10, 53D15.
M. Dwivedi
semanticscholar +1 more source
A dimensional restriction for a class of contact manifolds
Demonstratio Mathematica, 2017 In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
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ON WEAKLY $\phi$-RICCI SYMMETRIC KENMOTSU MANIFOLDS
, 2014 The object of the present paper is to introduce the notion of weakly φ-Ricci symmetric Kenmotsu manifolds and study characteristic properties of locally φ-Ricci symmetric and φ-recurrent spaces.
D. G. Prakasha, S. Hui, K. Vikas
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