A compact approach to the positivity of Brown-York's mass and its relation with the Min-Oo conjecture, Yau's Problem \#100 and rigidity of hypersurfaces
Sebasti\'an Montiel
TL;DR
This paper presents a compact method to establish the positivity of Brown-York's mass, exploring its connections with the Min-Oo conjecture, Yau's Problem 00, and the rigidity properties of hypersurfaces.
Contribution
It introduces a new compact approach to prove positivity of Brown-York's mass and links it to significant conjectures and problems in differential geometry.
Findings
Established positivity of Brown-York's mass using the new approach
Connected the positivity result with the Min-Oo conjecture and Yau's Problem 00
Provided insights into the rigidity of hypersurfaces related to these geometric concepts
Abstract
A compact approach to the positivity of Brown-York's mass and its relation with the Min-Oo conjecture, Yau's Problem \#100 and rigidity of hypersurfaces
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Geometry and complex manifolds