This is a preview. Log in through your library . Abstract For a projective manifold whose tangent bundle is of nonnegative degree, a vector bundle on it with a holomorphic connection actually admits a ...

Using the Hirzebruch's Riemann-Roch formula for endomorphism bundles over a compact complex two-fold we prove that the tangent bundle of a complex surface M of general type admits a nontrivial ...

Abstract: In the late 1970s, R. Hamilton initiated a program to extend the Kodaira-Spencer's elliptic deformation theory of complex structures to manifolds with boundary. The stable case can be stated ...