On the existence of global Tchebychev nets
Copyright policy )On the existence of global Tchebychev nets
Let S S be a complete, open simply connected surface. Suppose that the integral of the Gauss curvature over arbitrary measurable sets is less than π / 2 \pi /2 in magnitude. We show that the surface admits a global Tchebychev net.
- Department of Physics, Mathematics and Informatics Belarus
- University of Maryland, College Park United States
Hyperbolic equations on manifolds, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), complete surfaces, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, servants equation, Chebyshev net
Hyperbolic equations on manifolds, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), complete surfaces, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, servants equation, Chebyshev net
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