Detalles de Evento

Fecha y hora: 18 de diciembre de 2020, 13:00-14:30
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Contraseña de la reunión: 138582

TÍTULO: Hypersurfaces of constant higher order mean curvature in MxR
PONENTE: Joao Paulo dos Santos
Afiliación: Universidade de Brasilia

RESUMEN We consider hypersurfaces of products \(M\times \mathbb{R}\) with constant r-th mean curvature — to be called \(H_r\)-hypersurfaces — where \(M\) is an arbitrary Riemannian manifold. We develop a general method for constructing them, and employ it to produce many examples for a variety of manifolds \(M\), including all simply connected space forms and the Hadamard manifolds known as Damek-Ricci spaces. Uniqueness results for complete \(H_r\)-hypersurface of \(\mathbb{H}^n\times\mathbb{R}\) or \(\mathbb{S}^n\times\mathbb{R}\) \((n \geq 3)\) are also obtained.

This is a joint work with Ronaldo de Lima (UFRN) and Fernando Manfio (ICMC-USP).