A Gauss map and hybrid degree formula for compact hypersurfaces in Minkowski space

1989 ◽  
Vol 32 (1) ◽  
Author(s):  
Marek Kossowski
Keyword(s):  
Minkowski Space ◽  
Gauss Map

Timelike surfaces in the Lorentz–Minkowski space with prescribed Gaussian curvature and Gauss map

2006 ◽  
Vol 56 (8) ◽  
pp. 1357-1369 ◽  
Author(s):  
Juan A. Aledo ◽  
José M. Espinar ◽  
José A. Gálvez
Keyword(s):  
Minkowski Space ◽  
Gaussian Curvature ◽  
Gauss Map ◽  
Prescribed Gaussian Curvature

scholarly journals Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space

Symmetry ◽  
2018 ◽  
Vol 10 (6) ◽  
pp. 218 ◽  
Author(s):  
Sun Jung ◽  
Young Kim
Keyword(s):  
Minkowski Space ◽  
Gauss Map

scholarly journals Timelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski space E41 with pointwise 1-type Gauss map

Filomat ◽  
2015 ◽  
Vol 29 (3) ◽  
pp. 381-392 ◽  
Author(s):  
Burcu Bektaş ◽  
Uğur Dursun
Keyword(s):  
Minkowski Space ◽  
Parabolic Type ◽  
Gauss Map ◽  
Rotational Surface ◽  
Rotational Surfaces

In this work, we focus on a class of timelike rotational surfaces in Minkowski space E41 with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of elliptic, hyperbolic or parabolic type. We obtain all flat timelike rotational surface of elliptic and hyperbolic types with pointwise 1-type Gauss map of the first and second kind. We also prove that there exists no flat timelike rotational surface of parabolic type in E41 with pointwise 1-type Gauss map.

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.

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