scholarly journals On the Gauss map of surfaces of revolution in the three-dimensional Minkowski space

2013 ◽  
Vol 36 (2) ◽  
pp. 193-215
Author(s):  
Chahrazede Baba-Hamed ◽  
Mohammed Bekkar
Keyword(s):  
Minkowski Space ◽  
Three Dimensional ◽  
Gauss Map ◽  
Surfaces Of Revolution ◽  
Dimensional Minkowski Space

scholarly journals On the Gauss Map of Surfaces of Revolution with Nonlightlike Axis in Minkowski 3-Space

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Minghao Jin ◽  
Donghe Pei
Keyword(s):  
Minkowski Space ◽  
Classification Problem ◽  
Gauss Map ◽  
Real Matrix ◽  
Surfaces Of Revolution ◽  
3 Dimensional ◽  
Dimensional Minkowski Space

We study surfaces of revolution with a nonlightlike axis in 3-dimensional Minkowski space and classify such surfaces in terms of the Gauss mapGthat satisfies the conditionΔhG=ΛG, with Λ being a3×3real matrix. Furthermore, this paper completes the classification problem of surfaces of revolution in Minkowski 3-space given by Jin et al. (2013).

scholarly journals The Algebraic Surfaces of the Enneper Family of Maximal Surfaces in Three Dimensional Minkowski Space

Axioms ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 4
Author(s):  
Erhan Güler
Keyword(s):  
Minkowski Space ◽  
Three Dimensional ◽  
Algebraic Surfaces ◽  
Cartesian Coordinates ◽  
Maximal Surfaces ◽  
Dimensional Minkowski Space ◽  
The Family

We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1. Moreover, we propose that the family has degree (2m+1)2 (resp., class 2m(2m+1)) in the cartesian coordinates x,y,z (resp., in the inhomogeneous tangential coordinates a,b,c).

Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry

2009 ◽  
Vol 50 (5) ◽  
pp. 053507 ◽  
Author(s):  
Joshua T. Horwood ◽  
Raymond G. McLenaghan ◽  
Roman G. Smirnov
Keyword(s):  
Minkowski Space ◽  
Three Dimensional ◽  
Cartan Geometry ◽  
Dimensional Minkowski Space

scholarly journals Classification Theorems in Minkowski 3-space

2018 ◽  
Author(s):  
Miekyung Choi ◽  
Young Ho Kim
Keyword(s):  
Minkowski Space ◽  
Gauss Map ◽  
Ruled Surfaces ◽  
3 Dimensional ◽  
Dimensional Minkowski Space

By generalizing the notion of pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with generalized 1-type Gauss map in a 3-dimensional Minkowski space. In particular, null scrolls do not have the proper generalized 1-type Gauss map. In fact, it is harmonic.

Constructions of spacelike Bézier Surfaces in the Three-dimensional Minkowski space

2009 ◽  
Author(s):  
Georgi H. Georgiev ◽  
George Venkov ◽  
Ralitza Kovacheva ◽  
Vesela Pasheva
Keyword(s):  
Minkowski Space ◽  
Three Dimensional ◽  
Dimensional Minkowski Space
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