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arXiv · 2305.19145

A sub-Riemannian maximum modulus theorem

Federico Buseghin·Nicolò Forcillo·Nicola Garofalo
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Abstract

In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense that in its statement one cannot replace the right-invariant horizontal gradient with the left-invariant one.

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Federico Buseghin, Nicolò Forcillo, Nicola Garofalo. 2023-05-30. A sub-Riemannian maximum modulus theorem. https://arxiv.org/abs/2305.19145

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