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Surface measure on, and the local geometry of, sub-Riemannian manifolds

We prove an integral formula for the spherical measure of hypersurfaces in equiregular sub-Riemannian manifolds. Among various technical tools, we establish a general criterion for the uniform convergence of parametrized sub-Riemannian distances, and local uniform asymptotics for the diameter of sma...

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Detalles Bibliográficos
Autores principales: Don, Sebastiano, Magnani, Valentino
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10598233/
https://www.ncbi.nlm.nih.gov/pubmed/37886618
http://dx.doi.org/10.1007/s00526-023-02590-8