首页|A STABILITY RESULT FOR TRANSLATING SPACELIKE GRAPHS IN LORENTZ MANIFOLDS

A STABILITY RESULT FOR TRANSLATING SPACELIKE GRAPHS IN LORENTZ MANIFOLDS

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In this paper,we investigate spacelike graphs defined over a domain Ω ⊂ Mn in the Lorentz manifold Mn × R with the metric-ds2+σ,where Mn is a complete Riemannian n-manifold with the metric σ,Ω has piecewise smooth boundary,and R denotes the Euclidean 1-space.We prove an interesting stability result for translating spacelike graphs in Mn × R under a conformal transformation.

mean curvature flowspacelike graphstranslating spacelike graphsmaximal spacelike graphsconstant mean curvatureLorentz manifolds

高雅、毛井、吴传喜

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Faculty of Mathematics and Statistics,Key Laboratory of Applied Mathematics of Hubei Province,Hubei University,Wuhan 430062,China

NSFCNSFCFok Ying-Tung Education Foundation(China)Hubei Key Laboratory of Applied Mathematics(Hubei University)

1180149611926352

2024

10.1007/s10473-024-0206-z

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子：0.256
ISSN：0252-9602
年,卷(期)：2024.44(2)
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