Calculus of Variations and Geometric Measure Theory

S. Verzellesi

Ruled Hypersurfaces in Higher Dimensional Heisenberg Groups

created by verzellesi on 23 May 2023



Inserted: 23 may 2023
Last Updated: 23 may 2023

Year: 2023


In this paper we introduce a notion of ruled hypersurface in the Heisenberg group $\mathbb H^n$, which generalizes the corresponding one in $\mathbb H^1$. We show two rigidity results in the classes of non-characteristic $C^1$-hypersurfaces and conical $C^2$-hypersurfaces, highlighting the main differences between $\mathbb H^1$ and higher dimensional Heisenberg groups.