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Q ‐Curvature on a Class of Manifolds with Dimension at Least 5
Author(s) -
Hang Fengbo,
Yang Paul C.
Publication year - 2016
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21623
Subject(s) - mathematics , conformal map , curvature , pure mathematics , invariant (physics) , yamabe flow , dimension (graph theory) , metric (unit) , sectional curvature , scalar curvature , class (philosophy) , manifold (fluid mechanics) , mathematical analysis , riemannian manifold , constant curvature , constant (computer programming) , geometry , mathematical physics , mechanical engineering , operations management , artificial intelligence , computer science , engineering , economics , programming language
For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q ‐curvature, and dimension at least 5, we prove the existence of a conformal metric with constant Q ‐curvature. Our approach is based on the study of an extremal problem for a new functional involving the Paneitz operator.© 2016 Wiley Periodicals, Inc.