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2013•arXiv (Cornell University)Open access

Boost Invariant Surfaces with Pointwise 1-Type Gauss Map in Minkowski 4-Space E4-1

Ferdağ Kahraman Aksoyak, Yusuf Yaylı

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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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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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Available 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.

Key concepts: Pointwise, Minkowski space, Gauss map, Gauss, Invariant (physics), Mathematics, Mathematical analysis, Surface (topology)

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