On locally homogeneous G-structures

被引:4
|
作者
Opozda, B [1 ]
机构
[1] Inst Matemat UJ, PL-30059 Krakow, Poland
关键词
G-structure; affine transformation; conformal structure; Weyl structure;
D O I
10.1023/A:1005007920878
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The notion of infinitesimal homogeneity is extended to arbitrary connections on G-structures. Two theorems of Singer type are proved for the extended notion. The results are applied to conformal and Weyl structures. Mathematics Subject Classifications (1991): 53B05, 53C30.
引用
收藏
页码:215 / 223
页数:9
相关论文
共 50 条
  • [1] On Locally Homogeneous G-structures
    Barbara Opozda
    [J]. Geometriae Dedicata, 1998, 73 : 215 - 223
  • [2] Homogeneous G-structures
    Tortorella, Alfonso Giuseppe
    Vitagliano, Luca
    Yudilevich, Ori
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (06) : 2357 - 2380
  • [3] Homogeneous G-structures
    Alfonso Giuseppe Tortorella
    Luca Vitagliano
    Ori Yudilevich
    [J]. Annali di Matematica Pura ed Applicata (1923 -), 2020, 199 : 2357 - 2380
  • [4] GEOMETRY OF G-STRUCTURES
    CHERN, SS
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (02) : 167 - &
  • [5] G-STRUCTURES ON SPHERES
    LEONARD, P
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 157 (JUN) : 311 - +
  • [6] G-structures on spheres
    Cadek, Martin
    Crabb, Michael
    [J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2006, 93 : 791 - 816
  • [7] Harmonic G-structures
    Gonzalez-Davila, J. C.
    Cabrera, F. Martin
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2009, 146 : 435 - 459
  • [8] TWISTORS AND G-STRUCTURES
    ALEKSEEVSKII, DV
    GRAEV, MM
    [J]. RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS, 1993, 40 (01): : 1 - 31
  • [9] Classification of Material G-Structures
    David Marín
    Manuel de León
    [J]. Mediterranean Journal of Mathematics, 2004, 1 (4) : 375 - 416
  • [10] CHARACTERISTIC CLASSES FOR G-STRUCTURES
    ALEKSEEVSKY, DV
    MICHOR, PW
    [J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 1993, 3 (04) : 323 - 329