Results 21 to 30 of about 374,684 (258)
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
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On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
Дифференциальная геометрия многообразий фигур, 2021 It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
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Nearly Sasakian Manifolds of Constant Type
Axioms, 2022 The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
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Reeb vector field of almost contact metric structure as affine motion
Дифференциальная геометрия многообразий фигур, 2022 Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
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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
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On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
Дифференциальная геометрия многообразий фигур, 2020 Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
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ON ALMOST r-CONTACT STRUCTURE MANIFOLDS
Demonstratio Mathematica, 1988 Let \((M^{2n+r},g)\) be a \((2n+r)\)-dimensional Riemannian \(C^{\infty}\)- manifold with metric tensor g. If \(M^{2n+r}\) carries a tensor field F of type (1,1) and r linearly independent vector fields \(U_ s\) and 1- forms \(u_ s\) \((s=1,...,r)\) such that \(F^ 2=-Id+\sum_{s}U_ s\otimes u_ s,\) \(F(U_ s)=0\), \(u_ s\circ F=0\), \(g(FX,FY)=g(X,Y ...
Nivas, Ram, Singh, Rajesh
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On almost contact affine $3$-structures
Kodai Mathematical Journal, 1973 Summary:
Yano, Kentaro +2 more
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Almost contact structures on manifolds with a $G_2$ structure
Advances in Theoretical and Mathematical Physics, 2022 We review the construction of almost contact metric (three-) structures, abbreviated ACM(3)S, on manifolds with a $G_2$ structure. These are of interest for certain supersymmetric configurations in string and M-theory. We compute the torsion of the $SU(3)$ structure associated to an ACMS and apply these computations to heterotic $G_2$ systems and ...
de la Ossa, Xenia +2 more
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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
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