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Whitney umbrellas and
swallowtails
Takashi Nishimura |
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Vol. 252 (2011), No. 2, 459–471
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Abstract |
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We introduce map germs of pedal unfolding type and the notion of normalized Legendrian map germs. We show that the fundamental theorem of calculus provides a natural one-to-one correspondence between Whitney umbrellas of pedal unfolding type and normalized swallowtails. |
Keywords
Whitney umbrella, pedal unfolding type, normalized
swallowtail, swallowtail
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Mathematical Subject Classification 2010
Primary: 53A05, 57R45, 58K25
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Milestones
Received: 30 July 2011
Accepted: 23 August 2011
Published: 29 October 2011
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Authors |
| Takashi Nishimura | |
| Group of Mathematical Sciences Research Institute of Environment and Information Sciences Yokohama National University Yokohama 240-8501 Japan |
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