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双曲空間とde Sitter Spaceの測地線に係る関係 The relation between hyperbolic space and de Sitter space with regard to their geodesics 岡田, 幾太郎 オカダ, イクタロウ metadata only access ローレンツ空間 双曲空間 de Sitter Space 測地線 測地線の極ベクトル Lorentzian space hyperbolic space de Sitter space geodesic polar vector of geodesics By defining "a polar vector of a geodesic" in either the hyperbolic space or the de Sitter space that is in a Lorentzian space as a unit vector in the subspace of theしorentzian space orthogonal with regard to theしorentzian metric to the plane containing the geodesic, the relation between hyperbolic space and de Sitter space with regard to their geodesics is studied, and the following facts are found. The polar vectors of all geodesics in the hyperbolic space are in the de Sitter space, and some polar vectors of geodesics in the de Sitter space can be in the hyperbolic space only when the geodesics are space-like. However, in the case of dimension 2, the polar vectors of space-like geodesics in the de Sitter space are always in the hyperbolic space. application/pdf 近畿大学産業理工学部 2005-07-12 jpn departmental bulletin paper NA https://kindai.repo.nii.ac.jp/records/15081 13495801 かやのもり：近畿大学産業理工学部研究報告 Reports of Faculty of Humanity-Oriented Science and Engineering, Kinki University 2 2 53 56