Multiplicative bijections between algebras of differentiable functions

Details Multiplicative bijections between algebras of differentiable functions Multiplicative bijections between algebras of differentiable functions

2006-06-19

arxiv.org/abs/math/0606456v1

Ann. Acad. Sci. Fenn. Math. 32 (2007) 471-480

Mathematics

Differential Geometry

Scientific paper

We show that any multiplicative bijection between the algebras of
differentiable functions, defined on differentiable manifolds of positive
dimension, is an algebra isomorphism, given by composition with a unique
diffeomorphism.

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