On the Spectra of a Family of Geometric Operators Evolving with Geometric Flows

Autor(es)

Tsonev, D. M. ; Mesquita, R. R.

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN MATHEMATICS AND STATISTICS; v. 9, n. 2, p. 22-pg., 2021-02-09.

Resumo

In this work we generalise various recent results on the evolution and monotonicity of the eigenvalues of certain family of geometric operators under some geometric flows. In an attempt to understand the arising similarities we formulate two conjectures on the monotonicity of the eigenvalues of Schrodinger operators under geometric flows. We also pose three questions which we consider to be of a general interest. (AU)

• Processo FAPESP: 16/06395-5 - Problemas abertos em curvatura e holonomia
• Beneficiário: Henrique Nogueira de Sá Earp
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil