Abstract
An exact upper estimate is obtained for the dimension of the automorphism group of a 2-dimensional hypersurface in ℂ3 possessing a Lie group structure.
Similar content being viewed by others
REFERENCES
S. S. Chern and J. K. Moser, “Real hypersurfaces in complex manifolds,” Acta Math., 133 (1974), no. 3–4, 219–271.
V. K. Beloshapka, “Holomorphic transformations of a quadric,” Mat. Sb. [Math. USSR-Sb.], 182 (1991), no. 2, 203–219.
N. K. Stanton, “Infinitesimal CR automorphisms of real hypersurfaces,” Amer. J. Math., 118 (1996), no. 1, 209–233.
P. Ebenfelt, “Normal forms and biholomorphic equivalence of real hypersurfaces in ℂ3,” Indiana Univ. Math. J., 42 (1998), 311–366.
V. K. Beloshapka, “Automorphisms of degenerate hypersurfaces in ℂ2and a dimension conjecture,” Russian J. Math. Phys., 4 (1997), no. 3, 393–396.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ershova, A.E. Automorphisms of 2-Nondegenerate Hypersurfaces in ℂ3 . Mathematical Notes 69, 188–195 (2001). https://doi.org/10.1023/A:1002820202041
Issue Date:
DOI: https://doi.org/10.1023/A:1002820202041