Sub-Laplacian comparison theorems on Riemannian foliations with minimal leaves and applications Article Swipe

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Fabrice Baudoin ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2509.13276

We prove comparison theorems for the horizontal Laplacian of the Riemannian distance in the context of Riemannian foliations with minimal leaves. This general framework generalizes previous works and allow us to consider the sub-Laplacian of Carnot groups of arbitrary steps. The comparison theorems yield a Bonnet-Myers type theorem, stochastic completeness and Lipschitz regularization property for the sub-Riemannian semigroup.

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2509.13276
PDF: https://arxiv.org/pdf/2509.13276
OA Status: green
OpenAlex ID: https://openalex.org/W4415317919

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DOI: https://doi.org/10.48550/arxiv.2509.13276

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Title: Sub-Laplacian comparison theorems on Riemannian foliations with minimal leaves and applications

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-09-16

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Authors: Fabrice Baudoin

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Landing page: https://arxiv.org/abs/2509.13276

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