A sub-Riemannian maximum modulus theorem

Federico Buseghin, Nicolò Forcillo, Nicola Garofalo

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalAdvances in Calculus of Variations
Early online date2 Jan 2024
Publication statusPublished - 2 Jan 2024


  • Bochner formulas
  • maximum modulus theorem
  • right-invariant vector fields

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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