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초록· 키워드
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The (affine) development of a smooth curve in a smooth manifold M with respect to an arbitrarily given affine connection in the bundle of affine frames over M is well known (cf. S.Kobayashi and K.Nomizu, Foundations of Differential Geometry, Vol.1). In this paper, we get the generalized affine development of a smooth curve $x_t$ ($t{\in}[0,1]$) in M into the affine tangent space at $x_0$ (${\in}M$) with respect to a given generalized affine connection in the bundle of affine frames over M.
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참고문헌 (3)
참고문헌 신청
C. Ehresmann / 1950 / Les connexions infinitesimales dans un espace fibre differen-tiable / Colloque de topologie
S. Kobayashi / 1963 / Foundations of Differential Geometry, Vol. I / Wiley-Interscience
K. Nomizu / 1978 / Kinematics and differential geometry-Rolling a ball with a pre-scribed locus of contact / Tohoku Math. J 30:623~637
S. Kobayashi / 1963 / Foundations of Differential Geometry, Vol. I / Wiley-Interscience
K. Nomizu / 1978 / Kinematics and differential geometry-Rolling a ball with a pre-scribed locus of contact / Tohoku Math. J 30:623~637
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