Helical geodesic immersions of semi-Riemannian manifolds

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概要

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• We obtain some basic results on helical geodesic immersions in semi-Riemannian geometry. For example, it is shown that, for an indefinite semi-Riemannian submanifold, if any space-like geodesics of the submanifold are helices of order d, curvatures λ1,...,λd-1 and signatures ε1,...,εd in the ambient space, then any time-like geodesics of the submanifold have the same order and curvatures, and signatures (-1)1ε1,...,(-1)dεd.

• 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文

国立大学法人 東京工業大学大学院理工学研究科数学専攻 | 論文

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