Volume-preserving mean curvature flow for tubes in symmetric spaces

Abstract

In this paper, we investigate the volume-prserving mean curvature flow starting from a tube (of nonconstant radius) over a compact closed domain of a reflective submanifold in a symmetric space. We prove that the tubeness is preserved along the flow under certain conditions.

arXiv commentI found many misses in this paper

References in corpus (2)

• On the Geometry of the Orbits of Hermann Actions
• The mean curvature flow for isoparametric submanifolds