Fredholm vector fields and a transversality theorem |
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Authors: | AJ Tromba |
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Institution: | Department of Mathematics, University of California, Santa Cruz, California 95065 USA |
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Abstract: | We define the notion of a Fredholm vector field and prove a transversality result giving conditions under which a vertical family of such vector fields generically have nondegenerate zeros. Many geometric objects like minimal surfaces, geodesics, and harmonic maps arise as the zeros of a Fredholm vector field. |
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