Sur des variétés de Cauchy-Riemann dont la forme de Levi a une valeur propre positive

被引：0
作者：
Biquard O. [1 ,2 ]
机构：
[1] IRMA, Univ. Louis Pasteur et CNRS, 67084 Strasbourg Cedex
[2] EDGE, Res. Train. Netwk. HPRN-C.
来源：
Mathematische Zeitschrift | 2005年 / 249卷 / 2期
关键词：
High Dimension; Projective Space; Small Deformation; Real Hypersurface; Filling Problem;
D O I：
10.1007/s00209-004-0705-5
中图分类号：
学科分类号：
摘要：
For certain real hypersurfaces in the projective space, of signature (1, n), we study the filling problem for small deformations of the CR structure (the other signatures being well understood). We characterize the deformations which are fillable, and prove that they have infinite codimension in the set of all CR structures. This result generalizes the cases of the 3-sphere and of signature (1, 1) to higher dimension. © Springer-Verlag 2004.
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页码：411 / 425
页数：14
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