Results 51 to 60 of about 304,775 (175)
Classification of contact structures associated with the CR-structure of the complex indicatrix
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
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Supersymmetric Field Theories on Three-Manifolds
, 2013 We construct supersymmetric field theories on Riemannian three-manifolds M, focusing on N=2 theories with a U(1)_R symmetry. Our approach is based on the rigid limit of new minimal supergravity in three dimensions, which couples to the flat-space ...
Closset, Cyril +3 more
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Contact metric manifolds with large automorphism group and (κ, µ)-spaces
Complex Manifolds, 2019 We discuss the classifiation of simply connected, complete (κ, µ)-spaces from the point of view of homogeneous spaces. In particular, we exhibit new models of (κ, µ)-spaces having Boeckx invariant -1.
Lotta Antonio
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Weak contact equations for mappings into Heisenberg groups
, 2013 Let k>n be positive integers. We consider mappings from a subset of k-dimensional Euclidean space R^k to the Heisenberg group H^n with a variety of metric properties, each of which imply that the mapping in question satisfies some weak form of the ...
Balogh, Zoltán M. +2 more
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Дифференциальная геометрия многообразий фигур, 2022 Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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Contact CR-Submanifolds of Kenmotsu Manifolds [PDF]
, 2011 2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold.
Atçeken, Mehmet
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Statistical cosymplectic manifolds and their submanifolds
پژوهشهای ریاضی, 2022 Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
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Characterization of 3-dimensional almost contact metric structures
, 2023 Abstract The aim of this paper is two-fold. First, a new characterization of any three-dimensional almost contact metric structure is obtained. Second, the necessary and sufficient condition for these structures to be integrable is determined, and an equivalent condition is given in terms of ∇ξ. Illustrative examples are given.
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
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Almost complex structure in the frame bundle of an almost contact metric manifold
Mathematische Zeitschrift, 1986 On the frame bundle \({\mathcal F}(M)\) of an almost contact metric manifold (M,\(\phi\),\(\xi\),\(\eta\),g), we define an almost complex structure J and obtain that (\({\mathcal F}(M),g^ D,J)\) is an almost Hermitian manifold, where \(g^ D\) is the Sasaki-Mok metric induced on \({\mathcal F}(M)\).
Bonome, A., Castro, R., Hervella, L.M.
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