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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Tsonev, D. M. [1] ; Mesquita, R. R. [1]
Total Authors: 2
Affiliation:
[1] Univ Fed Amazonas, Dept Matemat, BR-69077070 Manaus, AM - Brazil
Total Affiliations: 1
Document type: Journal article
Source: COMMUNICATIONS IN MATHEMATICS AND STATISTICS; FEB 2021.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 16/06395-5 - Open problems in curvature and holonomy
Grantee:Henrique Nogueira de Sá Earp
Support type: Research Grants - Visiting Researcher Grant - Brazil