Thomas Rot
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Registered User
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Apr 4 |
awarded | ● Fanatic |
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Mar 29 |
awarded | ● Citizen Patrol |
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Feb 21 |
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Detecting Non-Transversality James, you can always perturb it so that the unstable connection disappears, with arbitrary small perturbations (of the function, or of the metric (since $f$ is assumed to be morse)). |
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Feb 19 |
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Detecting Non-Transversality Disclaimer: this is not my field of research. There is a vast literature on numerical algorithms trying to detect heteroclinic connections. Some algorithms not only compute a candidate connection, but also give a proof that a connection exists within a certain error bound. This might be interesting to pursue. It is however a hard problem, because the connections between saddles (in two dimensions) are not stable (small perturbations of the function, or the metric, destroy them). I doubt that you can find general analytic algorithms. |
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Jan 17 |
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Is a manifold with flat ends of bounded geometry? Thank you for your very informative answer. |
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Jan 16 |
awarded | ● Nice Question |
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Jan 15 |
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Is a manifold with flat ends of bounded geometry? @Misha: Thanks. I think I understand the idea in principle, but have to think a little more about the covers appearing in the classification. I would still be very much interested in a more elementary argument, which does depend on the classification. |
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Jan 15 |
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Is a manifold with flat ends of bounded geometry? @Thomas Richard, This paper: math.sciences.univ-nantes.fr/~carron/flat_end.pdf claims that the the number of ends is finite (I think they implicitly assume that $M$ is connected). |
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Jan 15 |
revised |
Is a manifold with flat ends of bounded geometry? added 28 characters in body |
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Jan 15 |
asked | Is a manifold with flat ends of bounded geometry? |
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Jan 11 |
awarded | ● Yearling |
