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Spacelike maximal and timelike minimal surfaces of revolution in Minkowski 3-space
Abstract
In this paper, we study spacelike maximal and timelike minimal surfaces of revolution by using any planar spacelike and timelike profile curve in Minkowski 3-space and obtain various differential equations which characterize the profile curve of such surfaces. Also we gave some examples of spacelike maximal and timelike minimal surfaces of revolution.
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We classify the family of spacelike maximal surfaces in Lorentz-Minkowski 3-space L
This paper studies various ordinary differential equations that characterize space-like constant mean curvature surfaces of revolution in Minkowski 3-space. These differential equations are nonlinear and cannot be solved explicitly. Using numerical methods such as Runge-Kutta’s or Euler’s methods, we solve those differential equations and obtain examples of space-like constant mean curvature surfaces of revolution in Minkowski 3-space.
We prove the existence of maximal surfaces in asymptotically flat spacetime satisfying an interior condition. This uses a priori estimates which can also be applied to prescribed mean curvature surfaces in cosmological spacetimes and the Dirichlet problem.
Maximal surfaces in the 3-dimensional Minkowski space
- O Koboyashi
O. Koboyashi, Maximal surfaces in the 3-dimensional Minkowski space
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