On the total curvature of curves in a Minkowski space-Reference-Cited by-同舟云学术

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On the total curvature of curves in a Minkowski space

Published:2012-02-16 Issue:2 Volume:191 Page:755-769
ISSN:0021-2172
Container-title:Israel Journal of Mathematics
language:en
Short-container-title:Isr. J. Math.

Author:

Borisenko Alexander A.,Tenenblat Keti

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11856-012-0010-7.pdf

Reference15 articles.

1. S. B. Alexander and R. L. Bishop, The Fary-Milnor Theorem in Hadamard manifolds, Proceedings of the American Mathematical Society 126 (1998), 3427–3436.

2. A. A. Borisenko, Convex sets in Hadamard manifolds, Differential Geometry and its Applications 17 (2002), 111–121.

3. A. A. Borisenko and V. Miquel, Total curvatures of convex hypersurfaces in hyperbolic space, Illinois Journal of Mathematics 43 (1999), 61–78.

4. A. A. Borisenko, E. Gallego and A. Reventós, Relation between area and volume for λ-convex sets in Hadamard manifolds, Differential Geometry and its Applications 14 (2001), 267–280.

5. F. Brickell and C. C. Hsiung, The absolute total curvature of closed curves in Riemannian manifolds, Journal of Differential Geometry 9 (1974), 177–193.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Differential geometry of spatial curves for gauges;São Paulo Journal of Mathematical Sciences;2020-06-04

2. Differential geometry of immersed surfaces in three-dimensional normed spaces;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg;2020-04

3. On the total curvature of curves in nonsymmetric Minkowski spaces;Reports of the National Academy of Sciences of Ukraine;2014-10-25

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