Results 171 to 180 of about 220,418 (211)

Distributions on almost contact manifolds

Acta Mathematica Scientia, 2017
Abstract It is known that any hypersurface in an almost complex space admits an almost contact manifold [11, 14]. In this article we show that a hyperplane in an almost contact manifold has an almost complex structure. Along with this result, we explain how to determine when an almost contact structure induces a contact structure, followed by ...
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On statistical almost contact manifolds

Journal of Geometry and Physics
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S. Mehrshad, B. Najafi
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ALMOST CONTACT 3-MANIFOLDS AND RICCI SOLITONS

International Journal of Geometric Methods in Modern Physics, 2012
A Kenmotsu 3-manifold M admitting a Ricci soliton (g, w) with a transversal potential vector field w (orthogonal to the Reeb vector field) is of constant sectional curvature -1. A cosymplectic 3-manifold admitting a Ricci soliton with the Reeb potential vector field or a transversal vector field is of constant sectional curvature 0.
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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, Anna Fino, Luis Ugarte, Raquel Villacampa, Carlos Herdeiro, Roger Picken   +5 more
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A generalization of normal almost contact manifolds

Summary: In this article, a new definition, called \(\varphi \)-normal, is introduced, which is a generalization of normal condition on almost contact manifolds. Then some examples of \(\varphi \)-normal almost contact manifolds that are not normal are presented, and a sufficient and necessary condition for equivalence of these two definitions in 3 ...
Malek, Fereshteh, Ghoujaei Bavil Oliaei, Afshin   +1 more
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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.
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Almost contact homogeneous manifolds

1994
Let \((M, \varphi, \xi, \eta, g)\) be an almost contact manifold. \(M\) is said to be an almost contact homogeneous manifold if a Lie group \(G\) of isometries acts transitively and effectively on \(M\) and \(\varphi\) is invariant under the action of \(G\).
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Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold

, 2021
Mohammad Nazrul Islam Khan
semanticscholar   +1 more source

Slant Riemannian Maps From An Almost Contact Manifold

, 2017
R. Prasad, S. Pandey
semanticscholar   +1 more source

Almost bi-slant submanifolds of an almost contact metric manifold

Journal of Geometry, 2020
S. Perktaş, A. Blaga, E. Kiliç
semanticscholar   +1 more source