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Non-degenerate real hypersurfaces in complex manifolds admitting large groups of pseudo-conformal transformations II

Published online by Cambridge University Press:  22 January 2016

Keizo Yamaguchi
Keizo Yamaguchi*
Affiliation:
Department of Mathematics, Kyoto University
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This is the continuation of our previous paper [3], and will complete, without homogeneity assumption, the classification of non-degenerate real hypersurfaces S of complex manifolds M for which the groups A(S) of pseudo-conformal transformations of S have either the largest dimension n2 + 2n or the second largest dimension.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 69 , February 1978 , pp. 9 - 31
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

[1] Naruki, I. : On extendibility of isomorphisms of Cartan connections and biholomorphic mappings of Bounded Domains, Tôhoku Math. J. 28 (1976), 117–122.CrossRefGoogle Scholar
[2] Tanaka, N. : On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections, Japanese J. Math. Vol. 2, No. 1 (1976), 131–190.CrossRefGoogle Scholar
[3] Yamaguchi, K. : Non-degenerate real hypersurfaces in complex manifolds admitting large groups of pseudo-conformal transformations I, Nagoya Math. J. Vol. 62 (1976), 55–96.CrossRefGoogle Scholar