Axiomatic differential geometry II-1 - vector fields
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2012
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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In our previous paper entitled \Axiomatic di erential geometry I - towards model categories of di erential geometry", we have given a category-theoretic framework of di erential geometry. As the rst part of our series of papers concerned with di erential-geometric developments within the above axiomatic scheme, this paper is devoted to vector elds. The principal result is that the totality of vector elds on a microlinear and Weil exponential object forms a Lie algebra.
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Mathematics for Applications. 2012, 1, č. 2, s. 183-195. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/1_2/nishimura2_final.pdf
http://ma.fme.vutbr.cz/archiv/1_2/nishimura2_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky