Generalized Einstein tensor for a Weyl manifold and its applications

Özdeğer, Abdülkadir

doi:10.1007/s10114-012-0582-5

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Almost Contact and Almost Paracontact Structures In W 2n+1 A1

Introduction1

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2016

2017

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Article2

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Cited by 2 publications

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“…According to (14), a direction field w α defines an isotropic direction in W 2n+1 if αβ w α w β = 0. Then, by (12) and (19) it is easy to prove that the direction fields . Then, T α = grad, and according to [7](p. 157), the spaces W 2n+1 and W 2n+1 are Riemannian and pseudo-Riemannian, respectively, which we denote by V 2n+1 and V 2n+1 .…”

Section: Almost Contact and Almost Paracontact Structures In W 2n+1 Amentioning

confidence: 98%

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Odd-dimensional Weyl and pseudo-Weyl spaces with additional tensor structures

Ajeti¹,

Teofilova²,

Zlatanov³

2017

Filomat

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Odd-dimensional Weyl and pseudo-Weyl spaces admitting almost contact, almost paracontact and nilpotent structures are considered in this work. The results are obtained by means of the apparatus of the prolonged covariant differentiation. A linear connection with torsion is constructed. With respect to this connection the prolonged covariant derivatives of the fundamental tensors of the Weyl and pseudo-Weyl spaces are found to be zero. The curvature tensor with respect to this connection is considered.

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Section: Almost Contact and Almost Paracontact Structures In W 2n+1 Amentioning

confidence: 98%

“…Riemannian spaces with almost contact and almost paracontact structures have been studied in [1,3,5,6,[13][14][15]. In [11,12,16,17] Weyl spaces are studied, and in [19] nilpotent structures have been considered.…”

Section: Introductionmentioning

confidence: 99%