Nell’ambito delle attività del Dottorato in Matematica, la Dott.ssa S. Carolina García-Martínez del Departamento de Matemáticas – Universidad de Murcia (España) terrà un seminario su “On the behavior of the scalar curvature of constant mean curvature hypersurfaces in space forms” presso il Dipartimento di Matematica dell’Università degli Studi di Milano Via C. Saldini n.50 – Milano
Abstract In this work we study the behavior of the scalar curvature Scal of a hypersurface ? immersed with constant mean curvature into a Riemannian space form of constant curvature, deriving a sharp estimate for the infimum and for the supremum of Scal, under some appropriate conditions on ?, such as properly immersed and stochastic completeness. Our results will be an application of a generalized Omori-Yau maximum principle due to Pigola, Rigoli and Setti. The development of this work can be found in the papers [1] and [2]. Keywords: constant mean curvature, scalar curvature, Ricci curvature, maximum principle, stochastic completeness. [1] L.J. Alías and S.C. García-Martínez. On the scalar curvature of constant mean curvature hypersurfaces in space forms. J. Math. Anal. Appl. 363 (2010), 579_587. [2] L.J. Alías and S.C. García-Martínez. An estimate for the scalar curvature of constant mean curvature in space forms. Published online http://www.springerlink.com/content/100269/.
Calendario Giovedì 24 marzo 2011, alle ore 15.00, presso l’aula Dottorato (I piano).
Locandina_Martinez.pdf