Abstract
We prove that any closed and convex surface in the Minkowski 3-space of class $C^3$ has at least two umbilic points. This shows that the Carathéodory conjecture for surfaces in the Euclidean 3-space is true for surfaces in the Minkowski 3-space.
Citation
Farid TARI. "Umbilics of surfaces in the Minkowski 3-space." J. Math. Soc. Japan 65 (3) 723 - 731, July, 2013. https://doi.org/10.2969/jmsj/06530723
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