Total curvature and length estimate for curves in CAT(K) spaces
We introduce the notion of total curvature of curves (which agrees with the usual one in the piecewise smooth case) in spaces of Alexandrov curvature bounded above. Basic properties of total curvature, including rectifiability of curves of finite total curvature and additivity of total curvature, ar...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/20830 |
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| Institution: | Mahidol University |