Non-split geometry on products of vector bundles

Non-Split Geometry on Products of Vector Bundles

We propose a model in which a spliced vector bundle (with an arbitrary number of gauge structures in the splice) possesses a geometry which do not split. The model employs connection 1-forms with values in a space-product of Lie algebras, and therefore interlaces the various gauge structures in a non-trivial manner. Special attention is given to the structure of the geometric ghost sector and t...

Finsler Geometry of Projectivized Vector Bundles

Differential Geometry of Complex Vector Bundles

On the Differential Geometry of Homogeneous Vector Bundles

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Non-simple Vector Bundles on Curves

Let A be a finite dimensional unitary algebra over an algebraically closed field K. Here we study the vector bundles on a smooth projective curve which are equipped with a faithful action of A.