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Title: Some aspects of Ricci flow on the 4-sphere
In this paper, on 4-spheres equipped with Riemannian metrics we study some integral conformal invariants, the sign and size of which under Ricci flow characterize the standard 4-sphere. We obtain a conformal gap theorem, and for Yamabe metrics of positive scalar curvature with L^2 norm of the Weyl tensor of the metric suitably small, we establish the monotonic decay of the L^p norm for certain p>2 of the reduced curvature tensor along the normalized Ricci flow, with the metric converging exponentially to the standard 4-sphere.  more » « less
Award ID(s):
2103392
PAR ID:
10633488
Author(s) / Creator(s):
;
Publisher / Repository:
New Zealand Mathematical Society, Department of Mathematics at the University of Auckland
Date Published:
Journal Name:
New Zealand Journal of Mathematics
Volume:
52
ISSN:
1179-4984
Page Range / eLocation ID:
381 to 402
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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