The profile you are now visiting: Benoît Daniel. Go back to Past records to show all talks or carry out a new search.

Talks by Benoît Daniel

On the area of minimal surfaces in a slab

Université Henri Poincaré - Nancy 1

Consider a non-planar orientable minimal surface S in a slab which is possibly with genus or with more than two boundary components. We show that there exists a catenoidal waist W in the slab whose flux has the same vertical component as S such that Area(S) >= Area(W), provided the intersections of S with horizontal planes have the same orientation.This is joint work with Jaigyoung Choe.

Seminario, 1ª Planta, IEMath

Existence and uniqueness of constant mean curvature spheres in $Sol(3)$

Université Henri Poincaré - Nancy 1

We study the classification of immersed constant mean curvature spheres in the homogeneous 3-manifold $Sol(3)$, i.e., the only Thurston 3-dimensional geometry where this problem remains open. Our main result states that, for every $H>\sqrt{1/3}$, there exists a unique (up to translations) immersed CMC $H$ sphere $S_H$ in $Sol(3)$. Moreover, this sphere $S_H$ is embedded, and is therefore the unique compact embedded CMC $H$ surface in $Sol(3)$.
The same results are obtained for all real numbers $H$ such that there exists a solution to the isoperimetric problem with mean curvature $H$.
Joint work with Pablo Mira.

Constant mean curvature surfaces in homogeneous manifolds

Université Henri Poincaré - Nancy 1

Benoît Daniel

Université Henri Poincaré - Nancy 1

Number of talks
3
Number of visits
3
Last visit
Personal website
Profile in Mathscinet
[Mathscinet]
Profile in Zentralblatt
[zentralblatt]
Country of origin
Francia

If you found any mistake, please Contact us in order to correct it.