A Pisan workshop in geometric analysis
timetable:
Thu 21 Sep, 14:10 - 15:10, Aula Dini
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Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
speaker: Liangjun Weng ( Università di Roma Tor Vergata)abstract: In this talk, we will discuss the relative isoperimetric problem, which dates back to Queen Dido in the ancient Carthage era. We first introduce the quermassintegrals for convex hypersurfaces with capillary boundary in the unit Euclidean ball and derive its first variational formula. Then by using some constrained nonlinear curvature flows, which preserve one geometric quantity invariant and monotone increase another one, we obtain the Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in the unit ball. The talk is based on joint works with Prof. Guofang Wang and Prof. Chao Xia.
timetable:
Thu 21 Sep, 14:10 - 15:10, Aula Dini
<< Go back