Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 48, No. 2, pp. 351-365 (2007)

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The affine bundle theorem in synthetic differential geometry of jet bundles

Hirokazu Nishimura

Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan

Abstract: In this paper we will establish the affine bundle theorem in our synthetic approach to jet bundles in terms of infinitesimal spaces $D_{n}$'s. We will then compare these affine bundles with the corresponding ones constructed in our previous synthetic approach to jet bundles in terms of infinitesimal spaces $D^{n}$'s both in the general microlinear setting and in the finite-dimensional setting.

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Electronic version published on: 7 Sep 2007. This page was last modified: 28 Jun 2010.

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