Title
A Lie-Trotter formula for Riemannian manifolds and applications
Document Type
Article
Publication Date
11-19-2010
Abstract
In this paper we derive a Lie-Trotter formula for general Riemannian manifolds based on the local existence of a midpoint operation and given in terms of that operation. As a corollary one obtains that continuous maps between Riemannian manifolds that preserve the local midpoint structure are smooth. In particular, this is true for (local) isometries. © 2010 Heldermann Verlag.
Publication Source (Journal or Book title)
Journal of Lie Theory
First Page
665
Last Page
672
Recommended Citation
Lawson, J., & Lim, Y. (2010). A Lie-Trotter formula for Riemannian manifolds and applications. Journal of Lie Theory, 20 (4), 665-672. Retrieved from https://repository.lsu.edu/mathematics_pubs/597
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