Colloquium
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| Organizer(s) | AIDA Shigeki (chair), IKE Yuichi, IMAI Naoki, HAYASHI Shuhei |
|---|---|
| URL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium_e/index_e.html |
2010/06/11
17:00-18:00 Room #123 (Graduate School of Math. Sci. Bldg.)
Masaaki Umehara (Osaka University)
The Gauss-Bonnet Theorem and singular points on surfaces (JAPANESE)
Masaaki Umehara (Osaka University)
The Gauss-Bonnet Theorem and singular points on surfaces (JAPANESE)
[ Abstract ]
We generalize the classical Gauss-Bonnet formula for closed surfaces as wave fronts. Using it, we can find a new view point of inflection points and the topology of immersed surfaces in Euclidean 3-space via the singularities of their Gauss maps.
We generalize the classical Gauss-Bonnet formula for closed surfaces as wave fronts. Using it, we can find a new view point of inflection points and the topology of immersed surfaces in Euclidean 3-space via the singularities of their Gauss maps.


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