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|Title:||Positivity of Paneitz Operators||Authors:||Xu, X.
|Issue Date:||2001||Citation:||Xu, X.,Yang, P.C. (2001). Positivity of Paneitz Operators. Discrete and Continuous Dynamical Systems 7 (2) : 329-342. ScholarBank@NUS Repository.||Abstract:||In this paper, we give two results concerning the positivity property of the Paneitz operator- a fourth order conformally covariant elliptic operator. We prove that the Paneitz operator is positive for a compact Riemannian manifold without boundary of dimension at least six if it has positve scalar curvature as well as nonnegative Q-curvature. We also show that the positivity of the Paneitz operator is preserved in dimensions greater than four in taking a connected sum.||Source Title:||Discrete and Continuous Dynamical Systems||URI:||http://scholarbank.nus.edu.sg/handle/10635/103961||ISSN:||10780947|
|Appears in Collections:||Staff Publications|
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