Morse theory without nondegeneracy
We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components.
| Main Authors: | , |
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| Format: | Working paper |
| Jezik: | English |
| Izdano: |
University of Oxford
2020
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| Izvleček: | We describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any nondegeneracy assumptions except that the critical locus must have only finitely many connected components. |
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