Q curvature on a class of manifolds with dimension at least 5

Fengbo Hang; Paul C. Yang

Q curvature on a class of manifolds with dimension at least 5

Mathematics

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

Abstract

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 extremal problem for a new functional involving the Paneitz operator.

Original language	Undefined
Article number	1411.3926
Journal	arXiv
State	Published - Nov 14 2014

Keywords

math.DG
math.AP
58J05, 53C21

Cite this

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title = "Q curvature on a class of manifolds with dimension at least 5",

abstract = "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 extremal problem for a new functional involving the Paneitz operator.",

keywords = "math.DG, math.AP, 58J05, 53C21",

author = "Fengbo Hang and Yang, {Paul C.}",

note = "Material reorganized. References updated. To appear in Comm. Pure. Appl. Math",

year = "2014",

month = nov,

day = "14",

language = "Undefined",

journal = "arXiv",

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TY - JOUR

T1 - Q curvature on a class of manifolds with dimension at least 5

AU - Hang, Fengbo

AU - Yang, Paul C.

N1 - Material reorganized. References updated. To appear in Comm. Pure. Appl. Math

PY - 2014/11/14

Y1 - 2014/11/14

N2 - 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 extremal problem for a new functional involving the Paneitz operator.

AB - 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 extremal problem for a new functional involving the Paneitz operator.

KW - math.DG

KW - math.AP

KW - 58J05, 53C21

M3 - Article

JO - arXiv

JF - arXiv

M1 - 1411.3926

ER -