Event Details
SEMINARIO DE GEOMETRÍA
Conferenciante: José M. Manzano
Abstract: In this talk, we will consider an arbitrary orientable Riemannian surface \(M\) and an open relatively compact domain \(\Omega\subset M\) with piecewise regular boundary. Given a Killing submersion \(\pi:\mathbb{E}\to M\), we will discuss some properties of the divergence lines spanned by a sequence of minimal graphs over \(\Omega\), as well as how they produce certain laminations in \(\pi^{-1}(\Omega)\) whose leaves are vertical surfaces (after considering a subsequence). We will apply these results to give a general solution to the Jenkins-Serrin problem over \(\Omega\) under natural necessary assumptions. This is a joint work with Andrea del Prete and Barbara Nelli.
