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”.
Jin-ichi ITOH. Kazuyoshi KIYOHARA. "Thread construction revisited." J. Math. Soc. Japan 68 (3) 917 - 938, July, 2016. https://doi.org/10.2969/jmsj/06830917