Invariant Forms on Grassmann Manifolds AM 89 Volume 89 is popular PDF and ePub book, written by Wilhelm Stoll in 2016-03-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Invariant Forms on Grassmann Manifolds AM 89 Volume 89 can be Read Online from any device for your convenience.
Invariant Forms on Grassmann Manifolds AM 89 Volume 89 Book PDF Summary
This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.
Detail Book of Invariant Forms on Grassmann Manifolds AM 89 Volume 89 PDF
- Author : Wilhelm Stoll
- Release : 02 March 2016
- Publisher : Princeton University Press
- ISBN : 9781400881888
- Genre : Mathematics
- Total Page : 128 pages
- Language : English
- PDF File Size : 15,7 Mb
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