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Results tagged with morse-theory
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user 7311
In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
6
votes
Is there a bound on the length of the longest Morse trajectory?
I think you will need to be more precise and say in terms of what you want to bound the lengths. Of course there cannot be an absolute bound, since to multiply the lengths of all curves (and in partic …
- 15.3k
23
votes
Accepted
Notes for Bott's 1963 lectures on Morse theory
I find myself more than a little confused by this question. First, the "Lectures on K(X)" are not about Morse Theory. It is true that I gave a lecture on Morse Theory at Bott's Seminar in 1963, but I …
- 15.3k
26
votes
existence of Morse functions satisfying the Palais-Smale condition
Well, I have been away from this kind of question for a long while, so please don't the following remarks as definitive in any way, but I am not aware of any counter-example and in the infinite dimens …
- 15.3k
8
votes
literature on geometrical viewpoint on calculus of variations for physics
You might want to have a look at my book, "The Geometrization of Physics" which is freely available online in numerous places, in particular from http://www.e-booksdirectory.com/details.php?ebook=3623 …
- 15.3k