Results 1 to 4 of about 4 (4)

Estimates for a function on almost Hermitian manifolds

open access: yesComplex 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
doaj   +1 more source

An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds

open access: yesComplex Manifolds, 2022
We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
doaj   +1 more source

On a k-th Gauduchon almost Hermitian manifold

open access: yesComplex Manifolds, 2022
We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold ...
Kawamura Masaya
doaj   +1 more source

Invariant and non-invariant almost complex structures on compact quotients of Lie groups

open access: yesComplex Manifolds
In this article, we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties.
Sillari Lorenzo, Tomassini Adriano
doaj   +1 more source
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