On the self-shrinking systems in arbitrary codimension spaces

Abstract

In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.

References in corpus (4)

• Generic mean curvature flow I; generic singularities
• Entire self-similar solutions to Lagrangian Mean curvature flow
• Smooth compactness of self-shrinkers
• The Gauss image of entire graphs of higher codimension and Bernstein type theorems