Note on the linear endomorphisms of a vector bundle |
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| Authors: | Pierre B A Lecomte |
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| Institution: | (1) Institut de Mathématique, Université de Liège, Avenue des Tilleuls, 15, B-4000 Liege, Belgium |
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| Abstract: | In this paper, it is shown that if the Lie algebras of linear endomorphism fields of two vector bundles E and E are isomorphic, then E is isomorphic to E L for some line bundle L. Analogous results are obtained for the endomorphism fields of vector bundles equipped with some structures (Riemann structure, symplectic structure, ...). |
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