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Geodesics in the space of Kahler cone metrics
Geodesics the space of Kahler cone metrics Analysis of PDEs
2012/5/9
In this paper, we prove the existence and uniqueness of the weak cone geodesics in the space of K\"ahler cone metrics by solving the singular, homogeneous complex Monge-Amp\`{e}re equation. As an appl...
Closed magnetic geodesics on closed hyperbolic Riemann surfaces
prescribed geodesic curvature periodic orbits in magnetic fields closed magnetic geodesics
2010/12/1
We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesic curvature.