Invariant forms on Grassmann manifolds Wilhelm Stoll. Annals of mathematics studies 89.

Stoll, Wilhelm:

ISBN 10: 0691081980 / ISBN 13: 9780691081984

Editore: Princeton N.J., University of Tokyo Press; Princeton University Press, 1977

Riguardo questo articolo

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 32 STO 9780691081984 Sprache: Englisch Gewicht in Gramm: 500.

Codice articolo 2498659

Dati bibliografici

• Titolo: Invariant forms on Grassmann manifolds Wilhelm Stoll. Annals of mathematics studies 89.
• Editore: Princeton N.J., University of Tokyo Press; Princeton University Press
• Data di pubblicazione: 1977
• Lingua: Inglese
• ISBN 10: 0691081980
• ISBN 13: 9780691081984
• Rilegatura: Hardcover
• Peso: 500 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

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.