KOLÁŘ, Ivan. Affine structure on Weil bundles. Nagoya Mathematical Journal. Japonsko, 2000, vol. 1999, No 158, p. 99-106, 7 pp. ISSN 0027-7630.
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Basic information
Original name Affine structure on Weil bundles
Authors KOLÁŘ, Ivan (203 Czech Republic, guarantor).
Edition Nagoya Mathematical Journal, Japonsko, 2000, 0027-7630.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.355
RIV identification code RIV/00216224:14310/00:00003543
Organization unit Faculty of Science
UT WoS 000088058500007
Keywords in English Weil bundle; affine bundle
Tags affine bundle, Weil bundle
Changed by Changed by: prof. RNDr. Ivan Kolář, DrSc., učo 751. Changed: 26/6/2009 10:49.
Abstract
Abstract. For every r-th order Weil functor T(A), we introduce the underliyng k-th order Weil functors T(Ak), k=1,...,r-1. We deduce that T(A)M -> T(Ar-1)M is an affine bundle for every manifold M. Generalizing the classical concept of contakt element by C. Ehresmann, we define the bundle of contact elements of type A on M and we describe some affine properties of this bundle.
Links
GA201/96/0079, research and development projectName: Geometrie fibrovaných prostorů
Investor: Czech Science Foundation, Geometry of liber bundles
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