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Connected sums of
closed Riemannian manifolds and fourth-order conformal
invariants
David Raske |
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Vol. 261 (2013), No. 2, 463–476
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Abstract |
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In this note we take some initial steps in the investigation of a fourth-order analogue of the Yamabe problem in conformal geometry. The Paneitz constants and the Paneitz invariants considered are believed to be very helpful to understand the topology of the underlying manifolds. We calculate how those quantities change, analogous to how the Yamabe constants and the Yamabe invariants do, under the connected sum operations. |
Keywords
Paneitz–Branson operator, Q-curvature
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Mathematical Subject Classification 2010
Primary: 57R65
Secondary: 57R99
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Milestones
Received: 1 September 2010
Revised: 17 September 2012
Accepted: 16 October 2012
Published: 20 March 2013
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Authors |
| David Raske | |
| University of Michigan Ann Arbor, MI 48104 United States |
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