Accession Number:

AD0261356

Title:

ON STABILITY OF COMPACT SUBMANIFOLDS OF COMPLEX MANIFOLDS

Descriptive Note:

Corporate Author:

INSTITUTE FOR ADVANCED STUDY PRINCETON N J

Personal Author(s):

Report Date:

1961-07-01

Pagination or Media Count:

1.0

Abstract:

Stability of compact submanifolds of complex manifolds and some related topics are discussed. A compact submanifold V of a complex manifold W is said to be stable if any small deformation W T OF contains a small deformation Vt of V. Let psi be the sheaf over V of germs of holomorphic sections of the normal bundle of V in W. If the first cohomology group H1V,psi vanishes then V is a stable submanifold of W. A fibre structure of a compact fibred complex manifold M is said to be stable if any small deformation Mt of M retains a fibre structure. If each fibre of M is regular then the fibre structure of M is stable. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE