On fuzzy subbundles of vector bundles

V. Murali and G. Lubczonok

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-13

Abstract:

This paper considers fuzzy subbundles of a vector bundle. We define the operations sum, product, tensor product, Hom , and intersection of fuzzy subbundles and in each case, we characterize the corresponding flag of vector subbundles. We then propose two alternative definitions of integrability on fuzzy subbundles of a given type and discuss their naturality, merits, and shortcomings. We do these here with a view to introduce and study integrable fuzzy subbundles of tangent bundles on manifolds and foliations in further papers.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:954080

DOI: 10.1155/S016117120320329X

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