Conformally variational Riemannian invariants

Case, Jeffrey; Lin, Yueh-Ju; Yuan, Wei

doi:10.1090/tran/7761

Conformally variational Riemannian invariants
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by Jeffrey S. Case, Yueh-Ju Lin and Wei Yuan PDF

Trans. Amer. Math. Soc. 371 (2019), 8217-8254 Request permission

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.

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