Bismut type formulae for differential forms
Abstract
Formulae are given for dPt φ, d*Ptφ and Ptφ for Pt the heat semigroup acting on a q-form φ. The formulae are Brownian motion expectations of φ composed with random translations determined by Weitzenbock curvarure terms. Derivatives of the curvature are not involved.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.