References Total curvature

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kuhnel, wolfgang (2005), differential geometry: curves - surfaces - manifolds (2nd ed.), american mathematical society, isbn 978-0-8218-3988-1  (translated bruce hunt)
sullivan, john m. (2008), curves of finite total curvature , discrete differential geometry, oberwolfach semin., 38, birkhäuser, basel, pp. 137–161, arxiv:math/0606007 , doi:10.1007/978-3-7643-8621-4_7, mr 2405664 






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