Geometric Topology can be defined to be the investigation of global properties of a further structure (differentiable, Riemannian, complex and algebraic) one can impose on a topological manifold. This book studies the critical points of the distance function and its application to the understanding of the topology of Riemannian manifolds.
Geometric Topology can be defined to be the investigation of global properties of a further structure (differentiable, Riemannian, complex and algebra...
These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = P . According to Serre (GAGA) the class- n cation of holomorphic vector bundles is equivalent to the classi?cation of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some fundamental results from these ?elds are...
These lecture notes are intended as an introduction to the methods of classi?cation of holomorphic vector bundles over projective algebraic manifolds ...
These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda- mental results from these fields...
These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds...
