The Bi-normal fields on spacelike surfaces in $\mathbb R_1^4$

Dang Van Cuong

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arXiv · 1301.0867

The Bi-normal fields on spacelike surfaces in $\mathbb R_1^4$

Dang Van Cuong

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Abstract

A normal field on a spacelike surface in $R^4_1$ is called bi-normal if $K^ν$, the determinant of Weingarten map associated with $ν$, is zero. In this paper we give a relationship between the spacelike pseudo-planar surfaces and spacelike pseudo-umbilical surfaces, then study the bi-normal fields on spacelike ruled surfaces and spacelike surfaces of revolution.

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Dang Van Cuong. 2013-01-05. The Bi-normal fields on spacelike surfaces in $\mathbb R_1^4$. https://arxiv.org/abs/1301.0867

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