학술저널
GENERALIZED AFFINE DEVELOPMENTS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 1
-
2015.0265 - 72 (8 pages)
- 2
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 ∈ [0, 1]) in M into the affie tangent space at x 0 (∈ M ) with respect to a given generalized affine connection in the bundle of affine frames over M .
1. Introduction
2. Preliminaries
3. Developments
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