Results 1 to 10 of about 15,601 (190)

On Kähler-like and G-Kähler-like almost Hermitian manifolds

Complex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
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Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds [PDF]

Complex Manifolds, 2023
We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field.
Barbaro Giuseppe, Lejmi Mehdi
doaj   +2 more sources

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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Clairaut slant submersion from almost Hermitian manifolds [PDF]

Mathematica Moravica
Our main aim is to introduce Clairaut slant submersions in complex geometry. We give the notion of Clairaut slant submersions from almost Hermitian manifolds onto Riemannian manifold in this article. We obtain some basic results on discussed submersions.
Kumar Sushil, Prasad Rajendra, Kumar Singh Punit   +2 more
doaj   +2 more sources

Estimates for a function on almost Hermitian manifolds

Complex Manifolds, 2021
We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
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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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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
doaj   +3 more sources

On the spaces of $(d + d^{c})$-harmonic forms and $(d + d^{\Lambda})$-harmonic forms on almost Hermitian manifolds and complex surfaces [PDF]

Revista matemática iberoamericana, 2023
We study the spaces of $(d + d^c)$-harmonic forms and $(d + d^\Lambda)$-harmonic forms, the natural generalization of the spaces of Bott-Chern harmonic forms, resp. symplectic harmonic forms from complex, resp.
Lorenzo Sillari, A. Tomassini
semanticscholar   +1 more source

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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CR Compactification for Asymptotically Locally Complex Hyperbolic Almost Hermitian Manifolds [PDF]

Journal of Geometric Analysis, 2023
In this article, we consider a complete, non-compact almost Hermitian manifold whose curvature is asymptotic to that of the complex hyperbolic space. Under natural geometric conditions, we show that such a manifold arises as the interior of a compact ...
Alan Pinoy
semanticscholar   +1 more source