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Finite toroidal plasma current reduces the magnitude of the normal magnetic field line curvature near midvolume in a quasiaxisymmetric stellarator. This improves the ideal ballooning stability conditions. Near the edge of the plasma, a hollow toroidal curr ...
We study conditions under which a point of a Riemannian surface has a neighborhood that can be parametrized by polar coordinates. The point under investigation can be a regular point or a conical singularity. We also study the regularity of these polar coo ...
This chapter contains an introduction to triangle comparison theorems and it is proved that the fundamental group of a compact Riemannian manifold with negative sectional curvature is hyperbolic. ...
The goal of this paper is to give an explicit analysis of the geodesic flow on the three dimensional Lie group SOL. In particular we describe its horizon. (The horizon of a riemannian manifold is a topological space parametrizing the asymptotic classes of ...
In this article, we study the problem (sometimes called the Berger-Nirenberg problem) of prescribing the curvature on a Riemann surface (that is on an oriented surface equipped with a conformal class of Riemannian metrics). ...
