We prove the following results: 1. A unique smooth solution exists for a short time for the heat equation associated with the Möbius energy of loops in a euclidean space, starting with any simple smooth loop. 2. A critical loop of the energy is smooth if it has cube-integrable curvature. Combining
✦ LIBER ✦
The Problem of Freeness for Euler Monoids and Möbius Groups
✍ Scribed by Aleksander Grytczuk; Marek Wójtowicz
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 408 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0037-1912
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