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Chen Rotational Surfaces of Hyperbolic or Elliptic Type in the Four-dimensional Minkowski Space
Rotational surfaces Chen submanifolds four-dimensional Minkowski space
2011/1/18
We study the class of spacelike surfaces in the four-dimensional Minkowski space whose mean curvature vector at any point is a non-zero spacelike vector or timelike vector.These surfaces are determine...
Density of rational points on elliptic surfaces
Density of rational points elliptic surfaces
2010/12/9
Suppose V is a surface over a number field k that admits two elliptic fibrations. We show that for each integer d there exists an explicitly computable closed subset Z of V , not equal to V , such tha...
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.