On the existence of global Tchebychev nets
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- by Sandra L. Samelson and W. P. Dayawansa PDF
- Trans. Amer. Math. Soc. 347 (1995), 651-660 Request permission
Abstract:
Let $S$ be a complete, open simply connected surface. Suppose that the integral of the Gauss curvature over arbitrary measurable sets is less than $\pi /2$ in magnitude. We show that the surface admits a global Tchebychev net.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 651-660
- MSC: Primary 53C22; Secondary 53C21, 58G30
- DOI: https://doi.org/10.1090/S0002-9947-1995-1233983-3
- MathSciNet review: 1233983