Conformally variational riemannian invariants

Jeffrey S. Case; Yueh Ju Lin; Wei Yuan

doi:10.1090/tran/7761

Conformally variational riemannian invariants

Jeffrey S. Case, Yueh Ju Lin, Wei Yuan

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English (US)
Pages (from-to)	8217-8254
Number of pages	38
Journal	Transactions of the American Mathematical Society
Volume	371
Issue number	11
DOIs	https://doi.org/10.1090/tran/7761
State	Published - 2019

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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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",

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year = "2019",

doi = "10.1090/tran/7761",

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T1 - Conformally variational riemannian invariants

AU - Case, Jeffrey S.

AU - Lin, Yueh Ju

AU - Yuan, Wei

PY - 2019

Y1 - 2019

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AB - 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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U2 - 10.1090/tran/7761

DO - 10.1090/tran/7761

M3 - Article

AN - SCOPUS:85069718009

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

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Conformally variational riemannian invariants

Abstract

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