Results 1 to 10 of about 39 (25)
An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
Complex 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
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
doaj +1 more source
On a k-th Gauduchon almost Hermitian manifold
Complex 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
Hodge-de Rham numbers of almost complex 4-manifolds [PDF]
, 2022 We introduce and study Hodge-de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in the case of complex surfaces are extended to this more general setting, and ...
Cirici, Joana, Wilson, Scott O.
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On the characterization of rational homotopy types and Chern classes of closed almost complex manifolds [PDF]
, 2022 We give an exposition of Sullivan’s theorem on realizing rational homotopy types by closed smooth manifolds, including a discussion of the necessary rational homotopy and surgery theory, adapted to the realization problem for almost complex manifolds ...
Milivojević, A.
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Embedding almost-complex manifolds in almost-complex euclidean spaces [PDF]
, 2011 We show that any compact almost-complex manifold (M, J) of complex dimension m can be pseudo-holomorphically embedded in R6m equipped with a suitable almost-complex structure
Antonio J. Di Scala +8 more
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The complex geometry of two exceptional flag manifolds [PDF]
, 2020 We discuss the complex geometry of two complex five-dimensional Kähler manifolds which are homogeneous under the exceptional Lie group G2. For one of these manifolds, rigidity of the complex structure among all Kählerian complex structures was proved by ...
Kotschick, Dieter, Thung, D. K.
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SOME NONLINEAR DIFFERENTIAL INEQUALITIES AND AN APPLICATION TO HÖLDER CONTINUOUS ALMOST COMPLEX STRUCTURES [PDF]
, 2011 . We consider some second order quasilinear partial differential inequalities for real valued functions on the unit ball and find conditions under which there is a lower bound for the supremum of nonnegative solutions that do not vanish at the origin. As
Adam Coffman, Yifei Pan
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On Lie groups as quasi-K\"ahler manifolds with Killing Norden metric [PDF]
, 2007 A 6-parametric family of 6--dimensional quasi-K\"ahler manifolds with Norden metric is constructed on a Lie group.
Ganchev A. V +5 more
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Totally real immersions of surfaces [PDF]
, 2006 Totally real immersions $f$ of a closed real surface $\Sigma$ in an almost complex surface $M$ are completely classified, up to homotopy through totally real immersions, by suitably defined homotopy classes $\frak{M}(f)$ of mappings from $\Sigma$ into a ...
Derdzinski, Andrzej +1 more
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