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Right inverses of vector fields
Published online by Cambridge University Press: 09 April 2009
Abstract
D. Przeworska-Rolewicz developed an algebra-based theory around linear, not necessarily continuous, operators D: X → X which admit a right inverse, the elementary example being D = d/dt or, more generally, where ai are constants. We give conditions for the right invertibility of D in the case where ai are functions, or more generally, where D is the Lie or convariant derivative associated with a vector field on a (Banach) manifold M.
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- Copyright © Australian Mathematical Society 1995