This bachelor's thesis, after giving a self-contained outlook on Carnot groups, explores the notion of Pansu differentiability, an extension of differentiability within the context of Carnot groups, aiming to state and prove Pansu's theorem as a generalisation of Rademacher's theorem.

This bachelor's thesis, after giving a self-contained outlook on Carnot groups, explores the notion of Pansu differentiability, an extension of differentiability within the context of Carnot groups, aiming to state and prove Pansu's theorem as a generalisation of Rademacher's theorem.

Pansu's theorem

FISICHELLA, SIMONE
2025/2026

Abstract

This bachelor's thesis, after giving a self-contained outlook on Carnot groups, explores the notion of Pansu differentiability, an extension of differentiability within the context of Carnot groups, aiming to state and prove Pansu's theorem as a generalisation of Rademacher's theorem.
2025
Pansu's theorem
This bachelor's thesis, after giving a self-contained outlook on Carnot groups, explores the notion of Pansu differentiability, an extension of differentiability within the context of Carnot groups, aiming to state and prove Pansu's theorem as a generalisation of Rademacher's theorem.
Pansu
Carnot groups
Rademacher
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/115705