Open Access
July, 2016 Thread construction revisited
Jin-ichi ITOH, Kazuyoshi KIYOHARA
J. Math. Soc. Japan 68(3): 917-938 (July, 2016). DOI: 10.2969/jmsj/06830917


Staude's thread construction of ellipsoid is revisited from a new view-point concerning the length of geodesic segments. Thanks to the general nature of this view-point, one obtains similar thread construction on other stages, i.e., on “Liouville manifolds”.


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Jin-ichi ITOH. Kazuyoshi KIYOHARA. "Thread construction revisited." J. Math. Soc. Japan 68 (3) 917 - 938, July, 2016.


Published: July, 2016
First available in Project Euclid: 19 July 2016

zbMATH: 1353.53048
MathSciNet: MR3523531
Digital Object Identifier: 10.2969/jmsj/06830917

Primary: 53C22
Secondary: 53A05

Keywords: ellipsoid , Geodesic , Liouville manifold , thread construction

Rights: Copyright © 2016 Mathematical Society of Japan

Vol.68 • No. 3 • July, 2016
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