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- W4300693951 abstract "We continue our investigations into Toda's algorithm [14,3]; a Weierstrass-type representation of Gauss curvature $K=-1$ surfaces in $mathbb{R}^3$. We show that $C^0$ input potentials correspond in an appealing way to a special new class of surfaces, with $K=-1$, which we call $C^{1M}$. These are surfaces which may not be $C^2$, but whose mixed second partials are continuous and equal. We also extend several results of Hartman-Wintner [5] concerning special coordinate changes which increase differentiability of immersions of $K=-1$ surfaces. We prove a $C^{1M}$ version of Hilbert's Theorem." @default.
- W4300693951 created "2022-10-04" @default.
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- W4300693951 date "2013-01-23" @default.
- W4300693951 modified "2023-09-24" @default.
- W4300693951 title "Pseudo-spherical Surfaces of Low Differentiability" @default.
- W4300693951 doi "https://doi.org/10.48550/arxiv.1301.5679" @default.
- W4300693951 hasPublicationYear "2013" @default.
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