An example of rotationally symmetric $Q_{n-1}$-translators and a non-existence theorem in ${\mathbb{R}}^{n+1}$

Abstract

The main result in this paper is a non-existence Theorem of entire $Q_{n-1}$-translators in ${\mathbb{R}}^{n+1}$. In addition, an example of non-entire complete $Q_{n-1}$-translator has been found and a Tangential Principle for $Q_k$-translators in ${\mathbb{R}}^{n+1}$.

References in corpus (3)

• Non-existence for self-translating solitons
• On the topology of translating solitons of the mean curvature flow
• Equilibrium of Surfaces in a Vertical Force Field

Cited by in corpus (1)

• Rotationally symmetric translating solutions to extrinsic geometric flows