@article{227290a4abc14758897118375e7d2b28,
title = "Conformally variational riemannian invariants",
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.",
author = "Case, {Jeffrey S.} and Lin, {Yueh Ju} and Wei Yuan",
note = "Funding Information: The first author was supported by a grant from the Simons Foundation (No. 524601). The second author would like to thank Princeton University for the support, as part of the work was done when she was visiting Princeton. The third author was supported by NSFC (Grant Nos. 11601531 and 11521101) and the Fundamental Research Funds for the Central Universities (Grant No. 2016-34000-31610258). Funding Information: Received by the editors November 15, 2017, and, in revised form, November 17, 2018. 2010 Mathematics Subject Classification. Primary 53C20; Secondary 53A55, 53C21, 53C24. Key words and phrases. Deformation of Riemannian invariant, conformally variational invariant, stability, rigidity. The first author was supported by a grant from the Simons Foundation (No. 524601). The second author would like to thank Princeton University for the support, as part of the work was done when she was visiting Princeton. The third author was supported by NSFC (Grant Nos. 11601531 and 11521101) and the Fundamental Research Funds for the Central Universities (Grant No. 2016-34000-31610258). Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",
year = "2019",
doi = "10.1090/tran/7761",
language = "English (US)",
volume = "371",
pages = "8217--8254",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "11",
}