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Partial integrability on Thurston manifolds

Hyeseon Kim (2013)

Annales Polonici Mathematici

We determine the maximal number of independent holomorphic functions on the Thurston manifolds $M^{2 r + 2}$ , r ≥ 1, which are the first discovered compact non-Kähler almost Kähler manifolds. We follow the method which involves analyzing the torsion tensor dθ modθ, where $θ = (θ ¹, . . ., θ^{r + 1})$ are independent (1,0)-forms.

Periodische Abbildungen unitärer Mannigfaltigkeiten.

Tammo tom Dieck (1972)

Mathematische Zeitschrift

Plane curves with hyperbolic and $C$ -hyperbolic complements

G. Dethloff, M. Zaidenberg (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Pluri-canonical divisors on Kähler manifolds.

M. Levine (1983)

Inventiones mathematicae

Pluriclosed flow on manifolds with globally generated bundles

Jeffrey Streets (2016)

Complex Manifolds

We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally generated.

Pointed $k$ -surfaces

Graham Smith (2006)

Bulletin de la Société Mathématique de France

Let $S$ be a Riemann surface. Let $ℍ^{3}$ be the $3$ -dimensional hyperbolic space and let $\partial_{\infty} ℍ^{3}$ be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping $ϕ : S \to \partial_{\infty} ℍ^{3} = \hat{ℂ}$ . If $i : S \to ℍ^{3}$ is a convex immersion, and if $N$ is its exterior normal vector field, we define the Gauss lifting, $\hat{ı}$ , of $i$ by $\hat{ı} = N$ . Let $\vec{n} : U ℍ^{3} \to \partial_{\infty} ℍ^{3}$ be the Gauss-Minkowski mapping. A solution to the Plateau problem $(S, ϕ)$ is a convex immersion $i$ of constant Gaussian curvature equal to $k \in (0, 1)$ such that the Gauss lifting $(S, \hat{ı})$ is complete and $\vec{n} \circ \hat{ı} = ϕ$ . In this paper, we show...

Polydiscs in Complex Manifolds.

Fornaess John Eric, Edgar Lee Stout (1977)

Mathematische Annalen

Polynomial structures on principal fibre bundles

P. G. Walczak (1976)

Colloquium Mathematicae

Potential theory and several complex variables

J. J. Kohn (1963)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Products of harmonic forms and rational curves.

Huybrechts, Daniel (2001)

Documenta Mathematica

Properties of Pseudo-holomorphic Curves in Symplectisations II: Embedding Controls and Algebraic Invariants.

H. Hofer, K. Wysocki, E. Zehnder (1995)

Geometric and functional analysis

Properties of pseudoholomorphic curves in symplectisations. I : asymptotics

H. Hofer, K. Wysocki, E. Zehnder (1996)

Annales de l'I.H.P. Analyse non linéaire

Pseudo holomorphic curves in symplectic manifolds.

M. Gromov (1985)

Inventiones mathematicae

Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three.

H. Hofer (1993)

Inventiones mathematicae

Pseudo-real principal Higgs bundles on compact Kähler manifolds

Indranil Biswas, Oscar García-Prada, Jacques Hurtubise (2014)

Annales de l’institut Fourier

Let $X$ be a compact connected Kähler manifold equipped with an anti-holomorphic involution which is compatible with the Kähler structure. Let $G$ be a connected complex reductive affine algebraic group equipped with a real form $σ_{G}$ . We define pseudo-real principal $G$ -bundles on $X$ . These are generalizations of real algebraic principal $G$ -bundles over a real algebraic variety. Next we define stable, semistable and polystable pseudo-real principal $G$ -bundles. Their relationships with the usual stable, semistable...

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