Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle
Mathematical Physics
2019-01-03 v2 math.MP
Abstract
We prove that the weak Riemannian metric induced by the fractional Sobolev norm on the diffeomorphisms group of the circle is geodesically complete, provided .
Keywords
Cite
@article{arxiv.1308.3570,
title = {Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle},
author = {Joachim Escher and Boris Kolev},
journal= {arXiv preprint arXiv:1308.3570},
year = {2019}
}
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17 pages