Results 11 to 20 of about 304,775 (175)
From Dual Connections to Almost Contact Structures
Mathematics, 2022 A dualistic structure on a smooth Riemaniann manifold M is a triple (M,g,∇) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇* can be defined.
Emmanuel Gnandi, Stéphane Puechmorel
doaj +1 more source
On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj +1 more source
Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds
Дифференциальная геометрия многообразий фигур, 2020 Let M be an almost contact metric manifold of dimension n = 2m + 1. The distribution D of the manifold M admits a natural structure of a smooth manifold of dimension n = 4m + 1.
A. Bukusheva
doaj +1 more source
Almost contact metric structures induced by $G_2$ structures
TURKISH JOURNAL OF MATHEMATICS, 2017 We study almost contact metric structures induced by 2-fold vector cross products on manifolds with $G_2$ structures. We get some results on possible classes of almost contact metric structures. Finally we give examples.
Ozdemir, Nulifer +2 more
openaire +5 more sources
Дифференциальная геометрия многообразий фигур, 2019 Almost contact metric (аст-)structures induced on oriented hypersurfaces of a Kählerian manifold are considered in the case when these аст-structures are of cosymplectic type, i. e. the contact form of these structures is closed. As it is known, the
G. Banaru
doaj +1 more source
Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
Axioms, 2020 We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect
José Luis Carmona Jiménez +1 more
doaj +1 more source
Existence of compatible contact structures on G₂ -manifolds [PDF]
, 2013 In this paper, we show the existence of (co-oriented) contact structures on certain classes of G(2)-manifolds, and that these two structures are compatible in certain ways.
Arikan, M., Cho, H., Salur, S.
core +1 more source
Harmonicity of normal almost contact metric structures
, 2023 We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps. We rewrite these harmonicity equations in terms of the curvature tensor and find conditions relating the harmonicity of the almost contact metric and almost complex ...
Benyounes, M. +3 more
openaire +2 more sources
On the Classifying of the Tangent Sphere Bundle with Almost Contact B-Metric Structure
پژوهشهای ریاضی, 2021 One of the classical fundamental motifs in differential geometry of manifolds is the notion of the almost contact structure. As a counterpart of the almost contact metric structure, the notion of the almost contact B-metric structure has been an ...
Esmaeil Peyghan, Farshad Firuzi
doaj
Hyperbolic normal almost contactmetric hypersurfaces in Euclidean 4-dimensional space
Lietuvos Matematikos Rinkinys, 2005 In Euclidean 4-dimensional space, all hyper surfaces with normal almost contact metric structure of hyperbolic type as well as hyperbolic Sasakian structure are found.
Angelė Baškienė
doaj +3 more sources