Singularities of axially symmetric time-like minimal submanifolds in Minkowski space

Abstract

We prove that there does not exist global-in-time axisymmetric solutions to the time-like minimal submanifold system in Minkowski space. We further analyze the limiting geometry as the maximal time of existence is approached.

References in corpus (1)

• Stable shock formation for nearly simple outgoing plane symmetric waves

Cited by in corpus (1)

• Global nearly-plane-symmetric solutions to the membrane equation