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Constant mean curvature surfaces in the Minkowski space and affine spheres
Nie Xin (Kias Seoul)
Aula Beltrami - Mercoledì 6 Luglio 2016 h.14:30
Abstract. We will give an introduction to the differential geometry of surfaces in a 3-dimensional vector space, especially constant mean curvature surfaces with respect to a Minkowski metric and affine spheres. These two types of surfaces turn out to be governed by similar PDEs and are related by Higgs bundles. We then discuss the problem of finding those surfaces asymptotic to a polygonal cone.
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
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