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- W3100769531 abstract "We prove the existence of $C^{1,1}$ isometric immersions of several classes of metrics on surfaces $(mathcal{M},g)$ into the three-dimensional Euclidean space $mathbb{R}^3$, where the metrics $g$ have strictly negative curvature. These include the standard hyperbolic plane, generalised helicoid-type metrics and generalised Enneper metrics. Our proof is based on the method of compensated compactness and invariant regions in hyperbolic conservation laws, together with several observations on the geometric quantities (Gauss curvature, metric components etc.) of negatively curved surfaces." @default.
- W3100769531 created "2020-11-23" @default.
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- W3100769531 date "2019-12-06" @default.
- W3100769531 modified "2023-09-25" @default.
- W3100769531 title "On the Existence of $$C^{1,1}$$-isometric Immersions of Several Classes of Negatively Curved Surfaces into $$mathbb {R}^3$$" @default.
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