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

Published online by Cambridge University Press:  22 January 2016

Keizo Yamaguchi
Keizo Yamaguchi*
Affiliation:
Department of Mathematics, Kyoto Univ.
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Let S (resp. S′) be a (real) hypersurface (i.e. a real analytic sub-manifold of codimension 1) of an n-dimensional complex manifold M (resp. M′). A homeomorphism f of S onto S′ is called a pseudo-conformal homeomorphism if it can be extended to a holomorphic homeomorphism of a neighborhood of S in M onto a neighborhood of S′ in M. In case such an f exists, we say that S and S′ are pseudo-conformally equivalent. A hypersurface S is called non-degenerate (index r) if its Levi-form is non-degenerate (and its index is equal to r) at each point of S.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 62 , September 1976 , pp. 55 - 96
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1976

References

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