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Title: Positivity of Paneitz Operators
Authors: Xu, X. 
Yang, P.C.
Keywords: Connected Sum
Paneitz Opertaor
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
ISSN: 10780947
Appears in Collections:Staff Publications

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