2019
DOI: 10.1016/j.jmaa.2019.04.057
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Rigidity of complete spacelike translating solitons in pseudo-Euclidean space

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Cited by 6 publications
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“…In [22], Chen and Qiu proved that any complete m -dimensional spacelike self-shrinkers in pseudo-Euclidean spaces of index n must be affine planes, and that there exists no complete m -dimensional spacelike translating soliton in . Subsequently, Xu and Liu [44] classified m -dimensional complete spacelike translating solitons in by affine techniques and classical gradient estimates, and they obtained a Bernstein-type theorem when the translating vector is spacelike. In addition, Lambert and Lotay [32] proved long-time existence and convergence results for spacelike solitons to mean curvature flow in that are entire or defined on bounded domains and satisfy Neumann or Dirichlet boundary conditions.…”
Section: Introductionmentioning
confidence: 99%
“…In [22], Chen and Qiu proved that any complete m -dimensional spacelike self-shrinkers in pseudo-Euclidean spaces of index n must be affine planes, and that there exists no complete m -dimensional spacelike translating soliton in . Subsequently, Xu and Liu [44] classified m -dimensional complete spacelike translating solitons in by affine techniques and classical gradient estimates, and they obtained a Bernstein-type theorem when the translating vector is spacelike. In addition, Lambert and Lotay [32] proved long-time existence and convergence results for spacelike solitons to mean curvature flow in that are entire or defined on bounded domains and satisfy Neumann or Dirichlet boundary conditions.…”
Section: Introductionmentioning
confidence: 99%