The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on September 26, 2017  at 2 p.m. in Room 478 of IMI.

A talk on:

Minimal Lorentz Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

will be delivered by Yana Aleksieva, Faculty of Mathematics and Informatics, Sofia University.

Everybody is invited.

Abstract. We study minimal Lorentz surfaces in the pseudo-Euclidean 4-space with neutral metric whose Gauss curvature K and normal curvature k satisfy the inequality K² – k² > 0. Such surfaces we call minimal Lorentz surfaces of general type. On any surface of this class we introduce geometrically determined canonical parameters and prove that any minimal Lorentz surface of general type is determined (up to a rigid motion) by two invariant functions satisfying a system of two natural partial differential equations. Using a concrete solution to this system we construct an example of a minimal Lorentz surface of general type.

This is a joint work with Velichka Milousheva.