scholarly journals Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space

2019 ◽  
Vol 95 (9) ◽  
pp. 97-102 ◽  
Author(s):  
Shintaro Akamine ◽  
Masaaki Umehara ◽  
Kotaro Yamada
Keyword(s):  
Maximal Surfaces

scholarly journals Periodic maximal surfaces in the Lorentz–Minkowski space $${\mathbb{L}^3}$$

2006 ◽  
Vol 256 (3) ◽  
pp. 573-601 ◽  
Author(s):  
Isabel Fernández ◽  
Francisco J. López
Keyword(s):  
Minkowski Space ◽  
Maximal Surfaces

Helicoidal Maximal Surfaces in Lorentz-Minkowski Space

2003 ◽  
Vol 140 (4) ◽  
pp. 315-334 ◽  
Author(s):  
Pablo Mira ◽  
Jos� A. Pastor
Keyword(s):  
Minkowski Space ◽  
Maximal Surfaces

ON THE GAUSSIAN CURVATURE OF MAXIMAL SURFACES AND THE CALABI–BERNSTEIN THEOREM

2001 ◽  
Vol 33 (4) ◽  
pp. 454-458 ◽  
Author(s):  
LUIS J. ALÍAS ◽  
BENNETT PALMER
Keyword(s):  
Minkowski Space ◽  
Upper Bound ◽  
Gaussian Curvature ◽  
Total Curvature ◽  
Local Geometry ◽  
Maximal Surface ◽  
Bernstein Theorem ◽  
New Approach ◽  
Maximal Surfaces

In this paper, a new approach to the Calabi–Bernstein theorem on maximal surfaces in the Lorentz– Minkowski space L3 is introduced. The approach is based on an upper bound for the total curvature of geodesic discs in a maximal surface in L3, involving the local geometry of the surface and its hyperbolic image. As an application of this, a new proof of the Calabi–Bernstein theorem is provided.

On maximal surfaces in the n-dimensional Lorentz-Minkowski space

1991 ◽  
Vol 38 (2) ◽  
Author(s):  
FranciscoJ.M. Estudillo ◽  
Alfonso Romero
Keyword(s):  
Minkowski Space ◽  
Maximal Surfaces

scholarly journals Flux of simple ends of maximal surfaces in ${\bf R}^{2,1}$

2008 ◽  
Vol 37 (3) ◽  
pp. 561-610 ◽  
Author(s):  
Taishi IMAIZUMI ◽  
Shin KATO
Keyword(s):  
Maximal Surfaces
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