The heat flow for subharmonic orbits |
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Authors: | Benjamin G Lorica |
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Institution: | (1) Department of Mathematics, University of California, 95616 Davis, CA, USA |
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Abstract: | LetV: M be a smooth (potential) function on a compact Riemannian manifold. This gives rise to a second order Hamiltonian system. Assuming that the corresponding action functional is a Morse function, we will prove that the heat flow for subharmonics exists globally and converges to a critical point of the energy. As a Corollary, this shows the convergence of the geodesic heat flow (to a geodesic) without any curvature assumptions onM. |
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Keywords: | Subharmonic orbit homoclinic orbit heat flow |
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