Blog
About

  • Record: found
  • Abstract: found
  • Article: found
Is Open Access

A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows

Preprint

Read this article at

Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      It is the purpose of this article to establish a technical tool to study regularity of solutions to parabolic equations on manifolds. As applications of this technique, we prove that solutions to the Ricci-DeTurck flow, the surface diffusion flow and the mean curvature flow enjoy joint analyticity in time and space, and solutions to the Ricci flow admit temporal analyticity.

      Related collections

      Author and article information

      Journal
      2013-09-09
      2013-09-19
      1309.2043

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

      Custom metadata
      math.AP math.DG

      Analysis, Geometry & Topology

      Comments

      Comment on this article