Connections withL
P
bounds on curvature |
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| Authors: | Karen K Uhlenbeck |
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| Institution: | (1) Department of Mathematics, University of Illinois at Chicago Circle, 60680 Chicago, IL, USA |
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| Abstract: | We show by means of the implicit function theorem that Coulomb gauges exist for fields over a ball inR
n
when the integralL
n/2 field norm is sufficiently small. We then are able to prove a weak compactness theorem for fields on compact manifolds withL
p
integral norms bounded,p>n/2. |
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| Keywords: | |
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