The Kulkarni-Pinkall form and locally strictly convex immersions in 3-dimensional Hyperbolic Spaces

Mon, 11/16/2020 - 10:54
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Graham Smith Universidade Federal do Rio de Janeiro

In this talk we study applications of the Kulkarni-Pinkall form to the study of locally strictly convex immersions in the 3-dimensional Hyperbolic Space. We deduce a new a priori estimate which in turn allows us to completely solve the asymptotic Plateau problem for k-surfaces in hyperbolic space as formulated by Labourie. This work has interesting intersections with a paper of Espinar-Gálvez-Mira. This work appears in https://arxiv.org/abs/2104.03181.

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