Minimal immersions of closed surfaces in hyperbolic 3- manifold
Minimal immersions of closed surfaces in hyperbolic 3- manifold
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Gabriella Tarantello from University of Rome Tor Vergata
Motivated by the听work of K.听Uhlenbeck, I discuss minimal immersions of closed surfaces of genus larger than 1 on hyperbolic 3-manifold. In this respect we establish multiple existence for the Gauss 鈥揅odazzi equation and describe the asymptotic behaviour of the solutions in terms of the marked conformal structure on the surface and the (prescribed) second fundamental form of the minimal immersion. Joint work with Z. Huang and M. Lucia.