Conformally variational Riemannian invariants

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY（2019）

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摘要

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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关键词

Deformation of Riemannian invariant,conformally variational invariant,stability,rigidity

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