Abstract
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.
Similar content being viewed by others
References
Kobayashi, S. and Nomizu, K.: Foundation of Differential Geometry, Vol. I, Interscience, New York, 1963.
Nicolodi, L. and Tricerri, F.: On two theorems of I. M. Singer about homogeneous spaces, Ann. Global Anal. Geom. 8 (1990), 193–200.
Opozda, B.: Curvature homogeneous and locally homogeneous affine connections, Proc. Amer. Math. Soc. 124 (1996), 1889–1893.
Opozda, B.: Affine versions of Singer's theorem on curvature homogeneous spaces, Ann. Global Anal. Geom. (1997), 187–199.
Singer, I. M.: Infinitesimally homogeneous spaces, Comm. Pure Appl. Math. 13 (1960), 685–697.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Opozda, B. On Locally Homogeneous G-structures. Geometriae Dedicata 73, 215–223 (1998). https://doi.org/10.1023/A:1005007920878
Issue Date:
DOI: https://doi.org/10.1023/A:1005007920878