scholarly journals Real hypersurfaces in complex manifolds

1974 ◽  
Vol 133 (0) ◽  
pp. 219-271 ◽  
Author(s):  
S. S. Chern ◽  
J. K. Moser
Keyword(s):  
Real Hypersurfaces ◽  
Complex Manifolds

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

1976 ◽  
Vol 62 ◽  
pp. 55-96 ◽  
Author(s):  
Keizo Yamaguchi
Keyword(s):  
Complex Manifold ◽  
Real Hypersurface ◽  
Levi Form ◽  
Real Hypersurfaces ◽  
Conformal Transformations ◽  
Complex Manifolds ◽  
Real Analytic ◽  
Large Groups

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.

Invariant Submanifolds of Real Hypersurfaces of Complex Manifolds

2010 ◽  
Vol 8 (1) ◽  
pp. 37-47
Author(s):  
Mirjana Djorić ◽  
Masafumi Okumura
Keyword(s):  
Real Hypersurfaces ◽  
Complex Manifolds ◽  
Invariant Submanifolds

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

1978 ◽  
Vol 69 ◽  
pp. 9-31
Author(s):  
Keizo Yamaguchi
Keyword(s):  
Real Hypersurfaces ◽  
Conformal Transformations ◽  
Complex Manifolds ◽  
Homogeneity Assumption ◽  
Large Groups

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.

scholarly journals Erratum to: Real hypersurfaces in complex manifolds

1983 ◽  
Vol 150 (0) ◽  
pp. 297-297 ◽  
Author(s):  
S. S. Chern ◽  
J. K. Moser
Keyword(s):  
Real Hypersurfaces ◽  
Complex Manifolds
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