English

On infinitesimal Einstein deformations

Differential Geometry 2015-08-05 v1

Abstract

We study infinitesimal Einstein deformations on compact flat manifolds and on product manifolds. Moreover, we prove refinements of results by Koiso and Bourguignon which yield obstructions on the existence of infinitesimal Einstein deformations under certain curvature conditions.

Keywords

Cite

@article{arxiv.1508.00721,
  title  = {On infinitesimal Einstein deformations},
  author = {Klaus Kroencke},
  journal= {arXiv preprint arXiv:1508.00721},
  year   = {2015}
}

Comments

17 papers. This paper contains parts of arXiv:1311.6749v1 which did not appear in the published version

R2 v1 2026-06-22T10:25:54.041Z