Kusuoka, Shigeo 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 Cited in 1 ReviewCited in 2 Documents MSC: 58J22 Exotic index theories on manifolds 53C20 Global Riemannian geometry, including pinching Keywords:degree theorem; Gauss-Bonnet-Chern formula; Bismut formula Citations:Zbl 0635.00012 PDFBibTeX XML