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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Bibliographic Details
Main Authors: Chaiwat Maneesawarng, Yongwimon Lenbury
Other Authors: Mahidol University
Format: Article
Published: 2018
Subjects:
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/20830
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Institution: Mahidol University