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Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 - Wilhelm Stoll

Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89

(Autor)

Buch | Hardcover
128 Seiten
1978
Princeton University Press (Verlag)
978-0-691-08198-4 (ISBN)
CHF 48,85 inkl. MwSt
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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.
Reihe/Serie Annals of Mathematics Studies
Verlagsort New Jersey
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-691-08198-0 / 0691081980
ISBN-13 978-0-691-08198-4 / 9780691081984
Zustand Neuware
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