Results 1 to 10 of about 95,625 (44)
On Lie groups as quasi-K\"ahler manifolds with Killing Norden metric [PDF]
Adv. Geom. 8 (2008), 343-352, 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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The complex geometry of two exceptional flag manifolds [PDF]
Annali di Matematica Pura ed Applicata 199 (2020), 2227--2241, 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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The complex geometry of a hypothetical complex structure on $S^6$ [PDF]
Differential Geom. Appl. 57 (2018), 121-137, 2018 This article is a survey about or introduction to certain aspects of the complex geometry of a hypothetical complex structure on the six-sphere. We discuss a result of Peternell--Campana--Demailly on the algebraic dimension of a hypothetical complex six ...
Lehn, Christian +2 more
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Totally real immersions of surfaces [PDF]
Transactions of the American Mathematical Society 362 (2010), no.
1, pp. 53-115, 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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On manifold-like polyfolds as differential geometrical objects with applications in complex geometry [PDF]
arXivWe argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds, enabling a smooth and local change of dimension.
Czyż, Rafał\ +3 more
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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
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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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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
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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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