Concept
F-space
Related publications (6)
Space lower bounds for low-stretch greedy embeddings
Greedy (geometric) routing is an important paradigm for routing in communication networks. It uses an embedding of the nodes of a network into points of a space (e.g., R-d) equipped with a distance function (e.g., the Euclidean distance l(2)) and uses as a ...
Elsevier Science Bv2016Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line
Martins Bruveris, Martin Bauer
In this article we study Sobolev metrics of order one on diffeomorphism groups on the real line. We prove that the space equipped with the homogeneous Sobolev metric of order one is a flat space in the sense of Riemannian geometry, as it is isometric to an ...
Springer Verlag2014