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portada Invariant Forms on Grassmann Manifolds
Type
Physical Book
Publisher
Author
Year
1978
Language
English
Pages
128
Format
Paperback
ISBN
0691081999
ISBN13
9780691081991
Categories

Invariant Forms on Grassmann Manifolds

Wilhelm Stoll (Author) · Princeton University Press · Paperback

Invariant Forms on Grassmann Manifolds - Wilhelm Stoll

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Synopsis "Invariant Forms on Grassmann Manifolds "

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.

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