Results 21 to 30 of about 355 (178)

Submersions of generic submanifolds of a Kaehler manifold

Arab Journal of Mathematical Sciences, 2014
Kobayashi has shown that for the submersion π:M→B of a CR-submanifold of a Kaehler manifold M¯ onto an almost Hermitian manifold B,B is necessarily a Kaehler manifold.
Tanveer Fatima, Shahid Ali
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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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Schrödinger flow into almost Hermitian manifolds [PDF]

Bulletin of the London Mathematical Society, 2012
13 pages, no figure, minor ...
openaire   +2 more sources

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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Homogeneous almost quaternion-Hermitian manifolds [PDF]

Mathematische Annalen, 2013
An almost quaternion-Hermitian structure on a Riemannian manifold $(M^{4n},g)$ is a reduction of the structure group of $M$ to $\mathrm{Sp}(n)\mathrm{Sp}(1)\subset \mathrm{SO}(4n)$. In this paper we show that a compact simply connected homogeneous almost quaternion-Hermitian manifold of non-vanishing Euler characteristic is either a Wolf space, or ...
Moroianu, Andrei, Pilca, Mihaela, Semmelmann, Uwe   +2 more
openaire   +4 more sources

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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An example of an almost hyperbolic Hermitian manifold

International Journal of Mathematics and Mathematical Sciences, 1998
The almost hyperbolic Hermitan manifolds introduced in [1] were classified for the first time in [2]. In this note we construct an example of an almost hyperbolic Hermitan manifold which belongs to a certain class that we study here.
Cornelia-Livia Bejan, Liviu Ornea
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