Boost Invariant Surfaces with Pointwise 1-Type Gauss Map in Minkowski 4-Space E4-1
Ferdag Kahraman Aksoyak, Yusuf Yayli
TL;DR
This paper investigates specific spacelike rotational surfaces in Minkowski 4-space, providing conditions for flat surfaces and characterizations of marginally trapped surfaces with pointwise 1-type Gauss maps.
Contribution
It offers new criteria for flat and marginally trapped boost invariant surfaces to have pointwise 1-type Gauss maps in Minkowski 4-space.
Findings
Necessary and sufficient conditions for flat spacelike rotational surfaces with pointwise 1-type Gauss map.
Characterization of boost invariant marginally trapped surfaces with pointwise 1-type Gauss map.
Abstract
In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds