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The Bi-normal fields on spacelike surfaces in $\mathbb R_1^4$
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math.DG
keywords
spacelikesurfacesbi-normalfieldsassociatedcalleddeterminantfield
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abstract
A normal field on a spacelike surface in $R^4_1$ is called bi-normal if $K^{\nu}$, the determinant of Weingarten map associated with $\nu$, 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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