A function with only Morse extrema and critical circles on a cylinder, torus, disk, or sphere always factors as a smooth value-reparametrization of the standard height, radius, or projection function, up to a diffeomorphism.
An introduction to Morse theory , volume 208 of Translations of Mathematical Mono- graphs
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions
A function with only Morse extrema and critical circles on a cylinder, torus, disk, or sphere always factors as a smooth value-reparametrization of the standard height, radius, or projection function, up to a diffeomorphism.