Group theoretical study on geodesics for the elliptical models

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Abstract

We consider the geodesic equation on the elliptical model, which is a generalization of the normal model. More precisely, we characterize this manifold from the group theoretical view point and formulate Eriksen’s procedure to obtain geodesics on normal model and give an alternative proof for it.

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Inoue, H. (2015). Group theoretical study on geodesics for the elliptical models. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 605–614). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_65

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