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Geometric Analysis Seminar

Asymptotic behavior of minimal immersions in 3-dimensional hyperbolic manifold

Marcello Lucia, CUNY

Location:  Hill 705
Date & time: Tuesday, 19 November 2019 at 2:50PM - 3:50PM

 Abstract:  We will discuss the Gauss-Codazzi equations that arise when one considers minimal immersions of closed surfaces in hyperbolic three manifolds. If one prescribes a conformal structure and the second fundamental form, existence of one solution for this equation was established by Uhlenbeck. In this talk we will show that there are at least two solutions, and will also discuss the behavior of such solutions when the norm of the second fundamental form is small. 

This is a joint work with Z. Huang and G. Tarantello.