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∇N-EINSTEIN ALMOST CONTACT METRIC MANIFOLDS

Vestnik Tomskogo gosudarstvennogo universiteta Matematika i mekhanika, 2021
On an almost contact metric manifold M, an N-connection ∇N defined by the pair (∇,N), where ∇ is the interior metric connection and N: TМ → TM is an endomorphism of the tangent bundle of the manifold M such that Nξ = 0, 􀁇 􀁇 N (D) ⊂ D , is considered ...
S. Galaev
semanticscholar   +1 more source

A Study of New Class of Almost Contact Metric Manifolds of Kenmotsu Type

, 2021
In this paper, we characterized a new class of almost contact metric manifolds and established the equivalent conditions of the characterization identity in term of Kirichenko’s tensors.
H. Abood, M. Y. Abass
semanticscholar   +1 more source

Almost contact hyperbolic-(f, g, η, ξ) structure

Acta Mathematica Academiae Scientiarum Hungaricae, 1976
M. Upadhyay, K. Dube
semanticscholar   +3 more sources

Ricci-like Solitons with Arbitrary Potential and Gradient Almost Ricci-like Solitons on Sasaki-like Almost Contact B-metric Manifolds

Results in Mathematics, 2020
Ricci-like solitons with arbitrary potential are introduced and studied on Sasaki-like almost contact B-metric manifolds. A manifold of this type can be considered as an almost contact complex Riemannian manifold which complex cone is a holomorphic ...
M. Manev
semanticscholar   +1 more source

On almost contact Finsler structures

International Journal of Geometric Methods in Modern Physics, 2020
We introduce almost contact and cosymplectic Finsler manifolds. Then, we characterize almost contact Randers metrics. It is proved that a cosymplectic Finsler manifold of constant flag curvature must have vanishing flag curvature. We prove that every cosymplectic Finsler manifold is a Landsberg space, under a mild condition.
Tayebeh Tabatabaeifar   +2 more
openaire   +1 more source

Almost Contact Metric Structures on the Hypersurface of Almost Hermitian Manifolds

Journal of Mathematical Sciences, 2015
This is a review paper on the theories of almost contact, almost Hermitian and Kenmotsu structures and their use in classical differential geometry. The authors give a very comprehensive account on the historical development of these structures using only Riemannian metrics, although modern applicable studies on these structures have been extended ...
Banaru, M. B., Kirichenko, V. F.
openaire   +1 more source

Local almost contact metric 3-structures

Publicationes Mathematicae Debrecen, 2000
The authors study a natural odd-dimensional analogue of quaternion-Kähler structures. They show that such manifolds are Einstein with positive scalar curvature and if complete are compact with finite fundamental group; with some regularity assumption they fiber with 3-dimensional spherical space forms over Einstein orbifolds with positive scalar ...
Matzeu, Paola, Ornea, Liviu
openaire   +2 more sources

HKT structures from almost contact manifolds

AIP Conference Proceedings, 2011
We review some results on hyper‐Kahler with torsion (HKT) structures on the total space of an S1‐bundle over manifolds with three almost contact structures. Moreover, we show that deforming slightly the metric on the S1‐bundle one may obtain an HKT structure starting from a 3‐Sasakian structure, which allows us to construct examples of HKT structures ...
Marisa Fernández   +5 more
openaire   +1 more source

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