Results 21 to 30 of about 369 (176)

A note on Gray problem

Дифференциальная геометрия многообразий фигур, 2022
We consider posed in 1960s Alfred Gray problem on the existence of a six-dimensional non-Kählerian almost Kählerian manifold. We study six-dimensional almost Hermitian locally symmetric sub­manifolds of Ricci type of Cayley algebra (the notion of such
M.B. Banaru
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On an {\it a priori} $L^\infty$ estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds

Cubo, 2022
We investigate Monge-Amp\`ere type equations on almost Hermitian manifolds and show an \textit{a priori} $L^\infty$ estimate for a smooth solution of these equations.
Masaya Kawamura
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On the Kähler-likeness on almost Hermitian manifolds

Complex Manifolds, 2019
We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
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Conformal Quasi-Hemi-Slant Riemannian Maps

Communications in Advanced Mathematical Sciences, 2022
In this paper, we state some geometric properties of conformal quasi-hemi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.
Şener Yanan
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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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Almost Hermitian Identities

Mathematics, 2020
We study the local commutation relation between the Lefschetz operator and the exterior differential on an almost complex manifold with a compatible metric.
Joana Cirici, Scott O. Wilson
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Bott–Chern Laplacian on almost Hermitian manifolds [PDF]

Mathematische Zeitschrift, 2022
AbstractLet$$(M,J,g,\omega )$$(M,J,g,ω)be a 2n-dimensional almost Hermitian manifold. We extend the definition of the Bott–Chern Laplacian on$$(M,J,g,\omega )$$(M,J,g,ω), proving that it is still elliptic. On a compact Kähler manifold, the kernels of the Dolbeault Laplacian and of the Bott–Chern Laplacian coincide. We show that such a property does not
Piovani R., Tomassini A.
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On the conformally k-th Gauduchon condition and the conformally semi-Kähler condition on almost complex manifolds

Cubo, 2021
We introduce the k-th Gauduchon condition on almost complex manifolds. We show that if both the conformally k-th Gauduchon condition and the conformally semi-Kähler condition are satisfied, then it becomes conformally quasi-Kähler.
Masaya Kawamura
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A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds

Дифференциальная геометрия многообразий фигур
From 1950s, it is known that an almost contact metric structure is in­duced on an arbitrary oriented hypersurface in an almost Hermitian mani­fold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contact ...
A. Abu-Saleem, M. B. Banaru, G. A. Banaru   +2 more
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Schrödinger flow into almost Hermitian manifolds [PDF]

Bulletin of the London Mathematical Society, 2012
13 pages, no figure, minor ...
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