Seminario de Geometría (virtual)

Event Details

Día y hora: Viernes 27 de Noviembre, 13:00
Lugar: Aula Virtual América
Acceso Sala América
- Contraseña de la reunión:788622
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Título: Hypersurfaces of constant higher order mean curvature in M×R.
Ponente: João Paulo dos Santos .
Universidade de Brasilia
Abstract: 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).