Partial indices of analytic discs attached to lagrangian submanifolds of ${\mathbb {C}}^N$

Josip Globevnik

Displaying similar documents to “Partial indices of analytic discs attached to lagrangian submanifolds of $ℂ^{N}$ ”

Analytic disks with boundaries in a maximal real submanifold of $𝐂^{2}$

Franc Forstneric (1987)

Annales de l'institut Fourier

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Let $M$ be a two dimensional totally real submanifold of class $C^{2}$ in $C^{2}$ . A continuous map $F : \overline{Δ} \to C^{2}$ of the closed unit disk $\overline{Δ} \subset C$ into $C^{2}$ that is holomorphic on the open disk $Δ$ and maps its boundary $b Δ$ into $M$ is called an analytic disk with boundary in $M$ . Given an initial immersed analytic disk $F^{0}$ with boundary in $M$ , we describe the existence and behavior of analytic disks near $F^{0}$ with boundaries in small perturbations of $M$ in terms of the homology class of the closed curve $F^{0} (b Δ)$ in $M$ . We also prove a regularity...

On the hull of holomorphy of an $n$ -manifold in $C^{n}$

Carlos E. Kenig, Sidney M. Webster (1984)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Extension of holomorphic maps between real hypersurfaces of different dimension

Rasul Shafikov, Kausha Verma (2007)

Annales de l’institut Fourier

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In this paper we extend the results on analytic continuation of germs of holomorphic mappings from a real analytic hypersurface to a real algebraic hypersurface to the case when the target hypersurface is of higher dimension than the source. More precisely, we prove the following: Let $M$ be a connected smooth real analytic minimal hypersurface in $C^{n}$ , $M^{'}$ be a compact strictly pseudoconvex real algebraic hypersurface in $C^{N}$ , $1 < n \leq N$ . Suppose that $f$ is a germ of a holomorphic map at a point $p$ in $M$ ...

Variations of complex structures on an open Riemann surface

M. S. Narasimhan (1961)

Annales de l'institut Fourier

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Soit $U_{1}$ un ouvert dans $C^{m}$ . Soit $π_{1} : S \to U_{1}$ une famille holomorphe de structures complexes sur une surface de Riemann non-compacte $M$ , avec $S_{t_{0}} = π_{1}^{- 1} (t_{0}) = M$ . ( $S = S (M \times U_{1})$ est une structure complexe sur le produit différentiable $M \times U_{1}$ ). Soit $M_{1}$ un domaine relativement compact dans $M$ . On démontre : pour tout voisinage de Stein $U$ de $t_{0}$ , assez petit, la famille $π_{1} : S (M_{1} \times U) \to U$ est isomorphe à la famille $π : Ω \to π (Ω)$ , où $Ω$ est un de la variété produit $M \times C^{m}$ , $π$ étant la projection $M \times C^{m} \to C^{m}$ . On donne aussi un résultat analogue pour le cas des variations différentiables. ...

On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems

Aldo Bressan, Marco Favretti (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This Note is the continuation of a previous paper with the same title. Here (Part II) we show that for every choice of the sequence $u_{a} (\cdot)$ , $Σ_{a}$ 's trajectory $l_{a}$ after the instant $d + η a$ tends in a certain natural sense, as $a \to \infty$ , to a certain geodesic $l$ of $V_{d}$ , with origin at $(\bar{q}, \bar{u})$ . Incidentally $l$ is independent of the choice of applied forces in a neighbourhood of $(\bar{q}, \bar{u})$ arbitrarily prefixed.

Displaying similar documents to “Partial indices of analytic discs attached to lagrangian submanifolds of ℂ N ”

Analytic disks with boundaries in a maximal real submanifold of 𝐂 2

On the hull of holomorphy of an n -manifold in C n

Extension of holomorphic maps between real hypersurfaces of different dimension

Variations of complex structures on an open Riemann surface

On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems

Displaying similar documents to “Partial indices of analytic discs attached to lagrangian submanifolds of $ℂ^{N}$ ”

Analytic disks with boundaries in a maximal real submanifold of $𝐂^{2}$

On the hull of holomorphy of an $n$ -manifold in $C^{n}$