Journal of the Mathematical Society of Japan

Thread construction revisited

Jin-ichi ITOH and Kazuyoshi KIYOHARA

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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”.

Article information

J. Math. Soc. Japan Volume 68, Number 3 (2016), 917-938.

First available in Project Euclid: 19 July 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C22: Geodesics [See also 58E10]
Secondary: 53A05: Surfaces in Euclidean space

ellipsoid thread construction Liouville manifold geodesic


ITOH, Jin-ichi; KIYOHARA, Kazuyoshi. Thread construction revisited. J. Math. Soc. Japan 68 (2016), no. 3, 917--938. doi:10.2969/jmsj/06830917.

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