Event Details
Día: 20 de Noviembre de 2020
Hora: 10:30 - 13:00
Lugar: Videoconferencia Sala TESLA de UGR,
Acceso Sala Virtual
Contraseña de la reunión: 359753
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Ponente: José Miguel Manzano (Universidad de Jaén, España)
Título:Horizontal Delaunay surfaces with constant mean curvature in product spaces Resumen:In this talk, we will describe the 1-parameter family of horizontal Delaunay surfaces in \(\mathbb{S}^2\times\mathbb{R}\) \(\mathbb{H}^2\times\mathbb{R}\) with supercritical constant mean curvature. These surfaces are not equivariant but singly periodic, and they lie at bounded distance from a horizontal geodesic. We will show that horizontal unduloids are properly embedded surfaces in \(\mathbb H^2\times\mathbb{R}\). We also describe the first non-trivial examples of embedded constant mean curvature tori in (\mathbb{S}^2\times\mathbb{R}\) which are continuous deformations from a stack of tangent spheres to a horizontal invariant cylinder. They have constant mean curvature \(H>\frac{1}{2}\). Finally, we prove that there are no properly immersed surface with critical or subcritical constant mean curvature at bounded distance from a horizontal geodesic in \(\mathbb{H}^2\times\mathbb{R}\) .
Título:Horizontal Delaunay surfaces with constant mean curvature in product spaces Resumen:In this talk, we will describe the 1-parameter family of horizontal Delaunay surfaces in \(\mathbb{S}^2\times\mathbb{R}\) \(\mathbb{H}^2\times\mathbb{R}\) with supercritical constant mean curvature. These surfaces are not equivariant but singly periodic, and they lie at bounded distance from a horizontal geodesic. We will show that horizontal unduloids are properly embedded surfaces in \(\mathbb H^2\times\mathbb{R}\). We also describe the first non-trivial examples of embedded constant mean curvature tori in (\mathbb{S}^2\times\mathbb{R}\) which are continuous deformations from a stack of tangent spheres to a horizontal invariant cylinder. They have constant mean curvature \(H>\frac{1}{2}\). Finally, we prove that there are no properly immersed surface with critical or subcritical constant mean curvature at bounded distance from a horizontal geodesic in \(\mathbb{H}^2\times\mathbb{R}\) .
