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On fuzzy subbundles of vector bundles

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  • V. Murali
  • G. Lubczonok

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.

Suggested Citation

  • V. Murali & G. Lubczonok, 2003. "On fuzzy subbundles of vector bundles," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-13, January.
    • Handle: RePEc:hin:jijmms:954080
    DOI: 10.1155/S016117120320329X
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