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Morse theory without nondegeneracy

Abstract:
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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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-7669-3304
Publisher:
University of Oxford
Publication date:
2020-12-17
Language:
English
Keywords:
Pubs id:
1140035
Local pid:
pubs:1140035
Deposit date:
2020-12-16

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