Abstract
In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality to time-like surfaces only if the mean curvature functions tend to zero. Moreover, we shall show the existence of such surfaces with non-vanishing mean curvature and investigate their properties.
Original language | English |
---|---|
Pages (from-to) | 64-77 |
Number of pages | 14 |
Journal | Differential Geometry and its Application |
Volume | 52 |
DOIs | |
Publication status | Published - Jun 1 2017 |
All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology
- Computational Theory and Mathematics