Results 1 to 10 of about 18,162 (144)
Almost Hermitian 6-Manifolds Revisited [PDF]
Journal of Geometry and Physics, 2004 A Theorem of Kirichenko states that the torsion 3-form of the characteristic connection of a nearly K\"ahler manifold is parallel. On the other side, any almost hermitian manifold of type $\mathrm{G}_1$ admits a unique connection with totally skew ...
Abbena +30 more
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Slant Riemannian maps from almost Hermitian manifolds [PDF]
Quaestiones Mathematicae, 2012 As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.
Sahin, Bayram
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Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
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Product of Almost-Hermitian Manifolds [PDF]
The Journal of Geometric Analysis, 2012 This is a continuous work about the nonexistence of some complete metrics on the product of two manifolds studied by Tam-Yu [Asian Journal of Mathematics, 14(2010)]. Motivated by the result of Tossati [Comm.Anal.Geom. 15(2007)]. We generalize the corresponding results of Tam-Yu [Asian Journal of Mathematics, 14(2010)] to the almost-Hermitian case.
Fan, Xu-Qian +2 more
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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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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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On the type constancy of some six-dimensional planar submanifolds of Cayley algebra
Дифференциальная геометрия многообразий фигур, 2023 The notion of type constancy was introduced by Alfred Gray for nearly Kählerian manifolds and later generalized by Vadim F. Kirichenko and Irina V. Tret’yakova for all Gray — Hervella classes of almost Hermitian manifolds.
G. A. Banaru
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Curvature of special almost Hermitian manifolds [PDF]
Pacific Journal of Mathematics, 2006 We study the curvature of almost Hermitian manifolds and their special analogues via intrinsic torsion and representation theory. By deriving different forumlae for the skew-symmetric part of the star-Ricci curvature, we find that some of these contributions are dependent on the approach used, and for the almost Hermitian case we obtain tables that ...
Martín, Francisco Cabrera +1 more
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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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On the most important achievements of V. F. Kirichenko in Theory of differentiable manifolds
Дифференциальная геометрия многообразий фигур, 2023 We mark out the most important results obtained by outstanding Russian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.
M. B. Banaru, G. A. Banaru
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