Title: Existence of closed embedded curves of constant curvature via min-max Authors: Lorenzo Sarnataro, Douglas Stryker Categories: math.DG math.DS Comments: 26 pages \\ We find conditions under which Almgren-Pitts min-max for the prescribed geodesic curvature functional in a closed oriented Riemannian surface produces a closed embedded curve of constant curvature. In particular, we find a closed embedded curve of any prescribed constant curvature in any metric on $S^2$ with $1/8$-pinched Gaussian curvature. \\ ( https://arxiv.org/abs/2306.04840 , 29kb)
Author Van Abel Posted on June 9, 2023Categories ArXiv Leave a comment on Existence of closed embedded curves of constant curvature via min-max