Sobolev bundles with abelian structure groups |
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| Authors: | Takeshi Isobe |
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| Institution: | 1. Department of Mathematics, Graduate School of Science and Engineering, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan
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| Abstract: | We consider fundamental analytical and topological questions for Sobolev bundles in the supercritical case. We in particular solve C ∞-equivalence, density and weak compactness problems for the case of Sobolev bundles with compact connected abelian structure groups. |
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