2-DIMENSIONAL SPHERES IN THE BOUNDARIES OF STRICTLY PSEUDOCONVEX DOMAINS IN C(2)

被引：13
作者：
KRUZHILIN, NG
机构：
来源：
MATHEMATICS OF THE USSR-IZVESTIYA | 1992年 / 39卷 / 03期
关键词：
D O I：
10.1070/IM1992v039n03ABEH002242
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that there exists a Levi-flat surface in C2 with boundary on a given two-dimensional sphere that lies in the boundary of a strictly pseudoconvex domain and is totally real everywhere except at a finite number of elliptic and hyperbolic points.
引用
收藏
页码：1151 / 1187
页数：37
相关论文
共 17 条
[1]   UNIQUE CONTINUATION AND REGULARITY AT THE BOUNDARY FOR HOLOMORPHIC-FUNCTIONS [J].
ALINHAC, S ;
BAOUENDI, MS ;
ROTHSCHILD, LP .
DUKE MATHEMATICAL JOURNAL, 1990, 61 (02) :635-653
[2]   ENVELOPES OF HOLOMORPHY OF CERTAIN 2-SPHERES IN C2 [J].
BEDFORD, E ;
GAVEAU, B .
AMERICAN JOURNAL OF MATHEMATICS, 1983, 105 (04) :975-1009
[3]  
BEDFORD E., 1991, J AM MATH SOC, V4, P623
[4]  
Bedford E., 1982, ANN SCUOLA NORM-SCI, V9, P529
[5]   DIFFERENTIABLE MANIFOLDS IN COMPLEX EUCLIDEAN SPACE [J].
BISHOP, E .
DUKE MATHEMATICAL JOURNAL, 1965, 32 (01) :1-&
[6]  
Burde G., 1985, KNOTS
[7]  
CHIRKA EM, 1982, MATH USSR SB+, V117, P291
[8]  
ELIASHBERG Y, FILLING HOLOMORPHIC
[9]  
Eroshkin O G, 1991, MAT ZAMETKI, V49, P149
[10]   ANALYTIC DISKS WITH BOUNDARIES IN A MAXIMAL REAL SUBMANIFOLD OF C2 [J].
FORSTNERIC, F .
ANNALES DE L INSTITUT FOURIER, 1987, 37 (01) :1-44
12