A hyperbolic twistor space.

Blair, David E.

Displaying similar documents to “A hyperbolic twistor space.”

On Almost Hyperbolic Spaces

C. P. Awasthi (1976)

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Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials

Apostolova, Lilia N. (2012)

Mathematica Balkanica New Series

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MSC 2010: 30C10, 32A30, 30G35 The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation...

Remark on hyperbolic embeddability of relatively compact subspaces of complex spaces

Do Duc Thai (1991)

Annales Polonici Mathematici

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Abstract. The characterization of hyperbolic embeddability of relatively compact subspaces of a complex space in terms of extension of holomorphic maps from the punctured disc and of limit complex lines is given.

Some characterizations of hyperbolic almost complex manifolds

Fathi Haggui, Adel Khalfallah (2010)

Annales Polonici Mathematici

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First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.

Schwarz-type lemmas for solutions of $\bar{\partial}$ -inequalities and complete hyperbolicity of almost complex manifolds

Sergey Ivashkovich, Jean-Pierre Rosay (2004)

Annales de l'Institut Fourier

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The definition of the Kobayashi-Royden pseudo-metric for almost complex manifolds is similar to its definition for complex manifolds. We study the question of completeness of some domains for this metric. In particular, we study the completeness of the complement of submanifolds of co-dimension 1 or 2. The paper includes a discussion, with proofs, of basic facts in the theory of pseudo-holomorphic discs.

Fixed points of holomorphic mappings in the Hilbert ball

T. Kuczumow (1988)

Colloquium Mathematicae

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Existence of Holomorphic Functions on Almost Complex Manifolds.

O. Muskarov (1986)

Mathematische Zeitschrift

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Holomorphic immersions between compact hyperbolic space forms.

Ngaiming Mok, Huai-Dong Cao (1990)

Inventiones mathematicae

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Levi-flat filling of real two-spheres in symplectic manifolds (II)

Hervé Gaussier, Alexandre Sukhov (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

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We consider a compact almost complex manifold $(M, J, ω)$ with smooth Levi convex boundary $\partial M$ and a symplectic tame form $ω$ . Suppose that $S^{2}$ is a real two-sphere, containing complex elliptic and hyperbolic points and generically embedded into $\partial M$ . We prove a result on filling $S^{2}$ by holomorphic discs.

Remarks on the relative intrinsic pseudo-distance and hyperbolic imbeddability

Nguyen Doan Tuan, Pham Viet Duc (2005)

Annales Polonici Mathematici

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We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.