English

Conformally variational Riemannian invariants

Differential Geometry 2017-11-16 v1

Abstract

Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of a Riemannian functional. We establish a wide range of stability and rigidity results involving CVIs, generalizing many such results for the scalar curvature.

Keywords

Cite

@article{arxiv.1711.05579,
  title  = {Conformally variational Riemannian invariants},
  author = {Jeffrey S. Case and Yueh-Ju Lin and Wei Yuan},
  journal= {arXiv preprint arXiv:1711.05579},
  year   = {2017}
}

Comments

36 pages

R2 v1 2026-06-22T22:46:50.257Z