Darren Long

Professor of Mathematics


Office: 6519 South Hall
Tel: (805) 893-2629
Fax: (805) 893-2385
Email: long@math.ucsb.edu

In fact I am Gromit, but if I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.

Which Springer GTM would you be? The Springer GTM Test


Postal Address:

Department of Mathematics
University of California,
Santa Barbara, CA 93106
Research


Classes


Seminars


Journals

I am currently the Topology Editor for the Pacific Journal of Mathematics and a Managing Editor for Topology and its Applications. For information about either of these journals, or for instructions on how to submit a paper, click on a link below.

  • Pacific Journal of Mathematics

  • Topology and its Applications


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    Last modified: 27 February 2008