Some topics of Geometric Analysis and Geometric Measure Theory

Some new results on stable hypersurfaces in the complex projective space and complex hyperbolic space

speaker: Roberto Monti (University of Padua)

abstract: We present some new results on the problem of classifying compact hypersurfaces in the complex projective space and in the complex hyperbolic space that have constant mean curvature and are stable for deformations preserving the enclosed volume. In the case of the complex projective space, we prove that a stable hypersurface satisfying a certain bound on the curvatures must be a geodesic sphere. The results are joint work with Battaglia, Righini and Montefalcone.

timetable:
Wed 17 Apr, 11:00 - 11:50, Aula Dini
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