The geometry of constant mean curvature surfaces in Euclidean space
Giuseppe Tinaglia (King's College London)
Abstract: I will begin by reviewing classical geometric properties of constant mean curvature surfaces, H>0, in R^3. I will then talk about several more recent results for surfaces embedded in R^3 with constant mean curvature, such as curvature and radius estimates. I will show applications of such estimates including a characterisation of the round sphere as the only simply-connected surface embedded in R^3 with constant mean curvature and area estimates for compact surfaces embedded in a flat torus with constant mean curvature and finite genus. I will also talk about the geometry of compact hyper surfaces embedded in a manifold with constant mean curvature and finite index.
differential geometry
Audience: researchers in the topic
Differential Geometry Seminar Torino
Series comments: This is a hybrid seminar organized by the Differential Geometry groups of Università and Politecnico di Torino.
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Organizers: | Alberto Raffero*, Michele Rimoldi, Debora Impera |
*contact for this listing |