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Degree theorem in certain Wiener Riemannian manifolds. (English) Zbl 0648.58038

Stochastic analysis, Proc. Jap.-Fr. Semin., Paris/France 1987, Lect. Notes Math. 1322, 93-108 (1988).
[For the entire collection see Zbl 0635.00012.]
The degree theorem for some special mapping, associated with Hilbertian vector bundle over finite dimensional Riemannian manifold, is obtained. Some interesting partial cases are considered, for example: a certain kind of the Gauss-Bonnet-Chern formula, an analogue of the Bismut formula.
Reviewer: V.Deundjak

MSC:

58J22 Exotic index theories on manifolds
53C20 Global Riemannian geometry, including pinching

Citations:

Zbl 0635.00012