activity
20022011
most citedClosed magnetic geodesics on closed hyperbolic Riemann surfaces

12 citations · 15 across the 11 of their papers we have counts for

collaborators

12 papers

math.DG2011

Embedded constant curvature curves on convex surfaces

Harold Rosenberg, Matthias Schneider

We prove the existence of embedded closed constant curvature curves on convex surfaces.

math.DG2010★ 12 cited

Closed magnetic geodesics on closed hyperbolic Riemann surfaces

Matthias Schneider

We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesi…

math.DG2009

Multiple Solutions to the Planar Plateau Problem

Matthias Schneider

We give existence and nonuniqueness results for simple planar curves with prescribed geodesic curvature.

math.DG2009★ 1 cited

Alexandrov embedded closed magnetic geodesics on S^2

Matthias Schneider

We prove the existence of two Alexandrov embedded closed magnetic geodesics on any two dimensional sphere with nonnegative Gauss curvature.

math.DG2008★ 1 cited

The Scalar Curvature Equation on

Matthias Schneider

We give existence results for solutions of the prescribed scalar curvature equation on , when the curvature function is a positive Morse function and satisfies an index-count…

math.DG2008

Closed Magnetic Geodesics on

Matthias Schneider

We give existence results for simple closed curves with prescribed geodesic curvature on , which correspond to periodic orbits of a charge in a magnetic field.