Download or read book On Stability of Compact Submanifolds of Complex Manifolds written by Kunihiko Kodaira and published by . This book was released on 1961 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 H1(V, 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).