Total curvature and some characterizations of closed curves in CATk spaces

Author:

Sama-Ae Areeyuth,Phon-on Aniruth

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference23 articles.

1. Alekseevskij, D.V., Solodovnikov, A.S., Vinberg, E.B.: Geometry of spaces of constant curvature, Geometry II, space of constant curvature. Encycl. Math. Sci. 29, 6–138 (1993)

2. Alexander, S.B., Bishop, R.L.: The Fary–Milnor theorem in Hadamard manifolds. Proc. Am. Soc. 126, 3427–3436 (1998)

3. Alexander, S.B., Bishop, R.L.: Comparison theorems for curves of bounded geodesic curvature in metric spaces of curvature bounded above. Differ. Geom. Appl. 9, 67–86 (1996)

4. Alexandrov, A.D.: Theory of curves based on the approximation by polygonal lines, Nautch. sess. Leningr. Univer., Tesis dokl. na sekth. matem. nauk. (1946)

5. Alexandrov, A.D., Berestovskii, V.N., Nikolaev, I.G.: Generalized Riemannian spaces. Russ. Math. Survey. 41, 1–54 (1986)

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