PROPAGATION OF SINGULARITIES IN CAUCHY-RIEMANN MANIFOLDS

被引：37
作者：
TREPREAU, JM [1 ]
机构：
[1] UNIV PARIS 06,F-75252 PARIS 05,FRANCE
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1990年 / 118卷 / 04期
关键词：
D O I：
10.24033/bsmf.2154
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a general result of propagation of hypoanalytic singularities for solutions of induced Cauchy-Riemann equations. As applications, we study the propagation of holomorphic extendability to a wedge and we give examples of solutions which can not be written as sums of boundary values of holomorphic functions.
引用
收藏
页码：403 / 450
页数：48
相关论文
共 50 条
[21]   EMBEDDINGS OF 3-DIMENSIONAL CAUCHY-RIEMANN MANIFOLDS [J].
LEMPERT, L .
MATHEMATISCHE ANNALEN, 1994, 300 (01) :1-15
[22]   Cauchy-Riemann 3-manifolds and Einstein fillings [J].
Biquard, Olivier .
PERSPECTIVES IN RIEMANNIAN GEOMETRY, 2006, 40 :27-46
[23]   CAUCHY-RIEMANN SUBMANIFOLDS OF LOCALLY CONFORMAL KAEHLER MANIFOLDS [J].
DRAGOMIR, S .
GEOMETRIAE DEDICATA, 1988, 28 (02) :181-197
[24]   Regularity of b complex on nondegenerate Cauchy-Riemann manifolds [J].
王伟 .
Science China Mathematics, 2001, (04) :452-466
[25]   Propagation of smallness for solutions of generalized Cauchy-Riemann systems [J].
Malinnikova, E .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2004, 47 :191-204
[26]   GENERALISED CAUCHY-RIEMANN LIGHTLIKE SUBMANIFOLDS OF INDEFINITE COSYMPLECTIC MANIFOLDS [J].
Gupta, R. S. ;
Upadhyay, A. ;
Sharfuddin, A. .
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2012, 58 (02) :381-394
[27]   Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds [J].
Duggal, K. L. ;
Sahin, B. .
ACTA MATHEMATICA HUNGARICA, 2009, 122 (1-2) :45-58
[28]   Generalised Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds [J].
Gupta, Ram Shankar ;
Sharfuddin, A. .
NOTE DI MATEMATICA, 2010, 30 (02) :49-59
[29]   Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds [J].
K. L. Duggal ;
B. Sahin .
Acta Mathematica Hungarica, 2009, 122 :45-58
[30]   Covariant Cauchy-Riemann operators and higher Laplacians on Kahler manifolds [J].
Englis, M ;
Peetre, J .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1996, 478 :17-56
12345