The mean curvature flow on solvmanifolds

Author:

Romina M. Arroyo, Gabriela P. Ovando, Raquel Perales, Mariel Sáez

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-05-02 16:00:00

Abstract

This work summarizes the most relevant background material that we have studied and proposes some problems that we will address in a forthcoming joint work. We will consider $\mathbb{R}^3$ with its canonical differentiable structure, endowed with a group product and a Riemannian metric $g$, so that this space becomes a solvmanifold. In this ambient space, we will obtain the mean curvature flow equation of surfaces that satisfy certain symmetries.

PDF: The mean curvature flow on solvmanifolds.pdf