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We study the problem of prescribing the curvature on Riemann surfaces. We extend some results that are classical in the compact case to the non compact case. ...
Particle transport in magnetized plasmas is investigated with a fluid model of drift wave turbulence. An analytical calculation shows that magnetic field curvature and thermodiffusion drive an anomalous pinch. The curvature driven pinch velocity is consist ...
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). ...
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 paper contains a new asymptotic formula relating the mean curvature of a hypersurface at a given point and the volume of small balls centered at this point. ...
We consider a surface S and a vector field u on S. We introduce a tensor χ(u) which measures the infinitesimal variations of the principal curvatures of S subject to u. ...
