[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.1.085

UNIFORMITY OF HOLOMORPHIC VECTOR BUNDLES ON INFINITE-DIMENSIONAL FLAG MANIFOLDS

Ballico, E. (Department Of Mathematics, University Of Trento)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 85-89 More about this Journal

Abstract

Let V be a localizing infinite-dimensional complex Banach space. Let X be a flag manifold of finite flags either of finite codimensional closed linear subspaces of V or of finite dimensional linear subspaces of V. Let E be a holomorphic vector bundle on X with finite rank. Here we prove that E is uniform, i.e. that for any two lines $D_1$ R in the same system of lines on X the vector bundles E $\mid$ D and E $\mid$ R have the same splitting type.

Keywords

flag manifold; infinite-dimensional flag manifold; holo-morphic vector bundle; uniform vector bundle; splitting type;

Citations & Related Records

Reference

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