Q ‐Curvature on a Class of Manifolds with Dimension at Least 5 | Zendy

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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.

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