Transversally pseudoconvex semiholomorphic foliations

被引:3
|
作者
Mongodi, Samuele [1 ]
Tomassini, Giuseppe [2 ]
机构
[1] Univ Roma Tor Vergata, I-00133 Rome, Italy
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
关键词
Semiholomorphic foliations; CR geometry; complex spaces;
D O I
10.4171/RLM/689
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A semiholomorphic foliations of type (n, d) is a differentiable real manifold X of dimension 2n + d, foliated by complex leaves of complex dimension n. The aim of the present note is to outline some results obtained in studying such spaces along the lines of the classical theory of complex spaces. Complete proofs will appear elsewhere.
引用
收藏
页码:23 / 36
页数:14
相关论文
共 50 条
  • [1] 1-COMPLETE SEMIHOLOMORPHIC FOLIATIONS
    Mongodi, Samuele
    Tomassini, Giuseppe
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 368 (09) : 6271 - 6292
  • [2] COMPARING RIEMANNIAN FOLIATIONS WITH TRANSVERSALLY SYMMETRIC FOLIATIONS
    KAMBER, FW
    RUH, EA
    TONDEUR, P
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1988, 27 (03) : 461 - 475
  • [3] ALMOST TRANSVERSALLY SYMMETRICAL FOLIATIONS
    KAMBER, FW
    RUH, EA
    TONDEUR, P
    LECTURE NOTES IN MATHEMATICS, 1986, 1209 : 184 - 189
  • [4] TRANSVERSALLY SYMMETRICAL RIEMANNIAN FOLIATIONS
    TONDEUR, P
    VANHECKE, L
    TOHOKU MATHEMATICAL JOURNAL, 1990, 42 (03) : 307 - 317
  • [5] STUDY ON TRANSVERSALLY COMPLETE FOLIATIONS
    MOLINO, P
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1977, 10 (03): : 289 - 307
  • [6] TRANSVERSALLY AFFINE FOLIATIONS OF CODIMENSION 1
    FURNESS, P
    FEDIDA, E
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 282 (16): : 825 - 827
  • [7] TRANSVERSALLY INTEGRABLE SINGULAR RIEMANNIAN FOLIATIONS
    BOUALEM, H
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (07): : 547 - 550
  • [8] TRANSVERSALLY PARALLELIZABLE FOLIATIONS OF CODIMENSION 2
    CONLON, L
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 194 (JUL) : 79 - 102
  • [9] ATIYAH SEQUENCES AND TRANSVERSALLY COMPLETE FOLIATIONS
    ALMEIDA, R
    MOLINO, P
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 300 (01): : 13 - 15
  • [10] Rigidity of transversally conformally parallelizable foliations
    Rigal, MH
    TOHOKU MATHEMATICAL JOURNAL, 1998, 50 (03) : 407 - 418