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

Cited by in corpus (10)

• The rigidity theorems for Lagrangian self shrinkers
• The Rigidity Theorems of Self Shrinkers via Gauss maps
• Estimates for eigenvalues of $\mathfrak{L}$ operator on Self-Shrinkers
• Existence and non-existence of minimal graphs
• A Bernstein type result for graphical self-shrinkers in ${\mathbb{R}}^4$
• Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space
• A rigidity theorem on the second fundamental form for self-shrinkers
• A Bernstein type theorem for graphic self-shrinkers with flat normal bundle
• Some results on space-like self-shrinkers
• On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space II