ON VECTOR SUBBUNDLES OF THE VECTOR BUNDLES

Abstract

In this paper are proved some theorems which give necessary and sufficient conditions for a real vector bundle of rank \(k\) to admit vector subbundle of rank \(m\) (\(m\leq k\)), or to admit \(m\) linearly independent vector fields. In the last section are considered complex vector bundles. Some ideas from the theory of complex commutative vector valued groups [2] are introduced in the complex vector bundles and two theorems are proved.