Integers are the partial indices of an analytic disc attached to a maximally real submanifolds of if and only if for at least one . If this is the case there are a Lagrangian submanifold of and an analytic disc attached to with partial indices .
Les entiers sont les indices partiels d’un disque analytique attaché à une sous-variété maximalement réelle de si et seulement si pour au moins un . Dans ce cas, il existe une sous-variété lagrangienne de et un disque analytique attaché à avec indices partiels .
@article{AIF_1996__46_5_1307_0, author = {Globevnik, Josip}, title = {Partial indices of analytic discs attached to lagrangian submanifolds of ${\mathbb {C}}^N$}, journal = {Annales de l'Institut Fourier}, pages = {1307--1326}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {46}, number = {5}, year = {1996}, doi = {10.5802/aif.1550}, mrnumber = {98a:32019}, zbl = {0861.32010}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1550/} }
TY - JOUR AU - Globevnik, Josip TI - Partial indices of analytic discs attached to lagrangian submanifolds of ${\mathbb {C}}^N$ JO - Annales de l'Institut Fourier PY - 1996 SP - 1307 EP - 1326 VL - 46 IS - 5 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1550/ DO - 10.5802/aif.1550 LA - en ID - AIF_1996__46_5_1307_0 ER -
%0 Journal Article %A Globevnik, Josip %T Partial indices of analytic discs attached to lagrangian submanifolds of ${\mathbb {C}}^N$ %J Annales de l'Institut Fourier %D 1996 %P 1307-1326 %V 46 %N 5 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1550/ %R 10.5802/aif.1550 %G en %F AIF_1996__46_5_1307_0
Globevnik, Josip. Partial indices of analytic discs attached to lagrangian submanifolds of ${\mathbb {C}}^N$. Annales de l'Institut Fourier, Volume 46 (1996) no. 5, pp. 1307-1326. doi : 10.5802/aif.1550. http://archive.numdam.org/articles/10.5802/aif.1550/
[Ch] Regularity of boundaries of analytic sets. (Russian) Mat. Sb. (N. S.), 117 (159) (1982), 291-336, English translation in Math. USSR Sb., 45 (1983), 291-335. | MR | Zbl
,[Č1] Minimal discs with free boundaries in a Lagrangian submanifold of ℂn, Indiana Univ. Math. J., 44 (1995), 153-164. | MR | Zbl
,[Č2] Stationary discs of fibrations over the circle, Internat. J. Math., 6 (1995), 805-823. | MR | Zbl
,[Č3] Analytic discs attached to a generating CR-manifold, Arkiv för Mat., 33 (1995), 217-248. | MR | Zbl
,[Č4] Regularity of discs attached to a submanifold of ℂN, preprint | Zbl
,[Fo] Analytic discs with boundaries in a maximal real submanifold of C2, Ann. Inst. Fourier, 37-1 (1987), 1-44. | EuDML | Numdam | MR | Zbl
,[Gl1] Perturbation by analytic discs along maximal real submanifolds of CN, Math. Z., 217 (1994), 287-316. | EuDML | MR | Zbl
,[Gl2] Perturbing analytic discs attached to maximal real submanifolds of ℂN, Indag. Math., N. S., 7 (1996), 37-46. | MR | Zbl
,[O] Riemann-Hilbert problem and application to the perturbation theory of analytic discs, Kyungpook Math. J., 35 (1995), 39-75. | MR | Zbl
,[P1] Riemannsche Funktionenscharen mit gegebener Monodromiegruppe, Monatsh. Math. Phys., 19 (1908), 211-246. | JFM
,[Po] Boundary behaviour of conformal maps, Grundl. der Math. Wiss., 299, Springer-Verlag, Berlin (1992). | MR | Zbl
,[PS] Loop groups., Oxford Science Publ., Clarendon Press, Oxford, 1986. | MR | Zbl
and ,[Ve1] Systems of singular integral equations, Nordhoff, Groningen, 1967.
,[Ve2] Systems of singular integral equations. (2nd edition, Russian) Nauka, Moscow, 1970.
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