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- W2123374144 abstract "In this note we study the local geometry of zero mean curvature spacelike surfaces ( stationary surfaces ) with non–negative Gaussian curvature K in a flat, four–dimensional Lorentzian space form L 4 . In particular, at points where the normal curvature K ⊥ is non–zero, we are able to estimate the maximum possible geodesic radius in terms of a (local) positive constant. As a consequence of this, we deduce that every complete stationary surface in L 4 with K ⩾ 0 must be flat and satisfy K ⊥ ≡ 0." @default.
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- W2123374144 date "1999-02-08" @default.
- W2123374144 modified "2023-10-16" @default.
- W2123374144 title "Zero mean curvature surfaces with non–negative curvature in flat Lorentzian 4–spaces" @default.
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- W2123374144 doi "https://doi.org/10.1098/rspa.1999.0327" @default.
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