Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Curvature restrictions on convex, timelike surfaces in Minkowski 3-space

Author(s): Senchun Lin
Journal: Proc. Amer. Math. Soc. 128 (2000), 1459-1466.
MSC (1991): Primary 53C42, 53C40, 53B30
Posted: December 8, 1999
MathSciNet review: 1709760
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Abstract: Suppose that and are Minkowski Gauss curvature and Minkowski mean curvature respectively on a timelike surface that is $C^{2}$ immersed in Minkowski 3-space $E^{3}_{1}$ . Suppose also that $0\not \equiv K < 0$ and that is complete as a surface in the underlying Euclidean 3-space $E^{3}$ . It is shown that neither nor can be bounded away from zero on such a surface .

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