We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham e-Theses
You are in:

Vector bundles on manifolds: the cohomology of projective algebraic varieties

Al-Ofi, Abdulaziz Slaim (2004) Vector bundles on manifolds: the cohomology of projective algebraic varieties. Masters thesis, Durham University.



This Thesis looks at different areas of mathematics which require the notion of a differentiable manifold. The first three chapters contain various materials such as differentiable manifolds, submanifolds, tangent bundles, differential forms, integrations, Stokes' theorem, and certain concepts of Riemannian geometry. In the last chapter, we show that the kernel of a given elliptic operator L is finite dimensional. We also show that on compact differentiable manifolds for each de Rham cohomology class a there exists a unique harmonic form y, showing that the de Rham cohomology is finite dimensional.

Item Type:Thesis (Masters)
Award:Master of Science
Thesis Date:2004
Copyright:Copyright of this thesis is held by the author
Deposited On:09 Sep 2011 10:03

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitter