A heat flow approach to the Godbillon-Vey class

Autor(es)

Ledesma, Diego S.

• Tipo de documento: Artigo Científico
• Fonte: Electronic Communications in Probability; v. 22, 2017.
• Citações Web of Science: 0

Resumo

We give a heat flow derivation for the Godbillon Vey class. In particular we prove that if (M, g) is a compact Riemannian manifold with a codimension 1 foliation F, defined by an integrable 1- form omega such that parallel to omega parallel to = 1, then the Godbillon-Vey class can be written as {[}-A omega <\^{}> d omega](dR) for an operator A : Omega{*} (M) -> Omega{*} (M) induced by the heat flow. (AU)

• Processo FAPESP: 10/20347-7 - Cálculo estocástico em variedades folheadas e aplicações
• Beneficiário: Diego Sebastian Ledesma
• Modalidade de apoio: Auxílio à Pesquisa - Regular