On singular non-holonomic geometry
نویسندگان
چکیده
The aim of the paper is to prove that every smooth generalized vector subbundle D of a vector bundle E is the image of a smooth endomorphism Φ on the fibers of E that induces authomorphisms of fibers of D and is called here a natural anchor. Two new constructions of finite sets of smooth generators of the fibers of D are obtained, using any finite set of generators of the module Γ(E). Natural anchors on generalized subbundles and almost regular Dirac subbundle of the Pontryagin vector bundle P (E) are constructed. M.S.C. 2010: 57R15, 57R30, 57R25.
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