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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: On the Existence of Convex Surfaces with Prescribed k-Symmetric Curvatures.

Presented by Daniel Ballesteros., Durham.

12 November 2015 13:00 in CM221

The classification of surfaces with given curvature conditions is a fundamental question in differential geometry. The Minkowski problem and its solution (Minkowski, Niremberg, Pogorelov, Cheng-Yau and others) by means of analytic methods led to the development of the theory of Monge-Ampere equations. This has inspired others to address the same question for mean and scalar curvatures, which are particular cases of k-symmetric curvatures. We give an overview of investigations on the existence of the solution of this problem initiated by the work of B. Guan and P. Guan.

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