bounDs on curvaturE, Flows, and geOmetRic coMparison
Scientific-Disciplinary Group
01/MATH-03 - Mathematical Analysis, Probability And Mathematical Statistics
Description
The research grant (IR) focuses on one or more of the following three topics:1) Study spaces with scalar curvature lower bounds in terms of properties of the weak Inverse Mean Curvature Flow. Discuss relations with typical questions in the area, in particular in relation with mathematical general relativity. Examples: positive mass theorems, Penrose inequalities, approximation by Ricci flow, compactness/stability theorems. 2) Explore new geometric flows/geometric PDEs leading to sharp mean curvature inequalities in spaces with curvature bounds, in order to deduce isoperimetric type inequalities.3) Work out versions of the Minkowski inequality for surfaces with free/capillary boundary in suitable surfaces, such as cones. The tool consists in free boundary/capillary versions of the weak IMCF.
Compensation
31,616 Euro
Job posting website
Number of positions
1
Funding body
Department of Mathematics - University of Padua
Selection process
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