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math.DG2005
Levi umbilical surfaces in complex space
R. Monti, D. Morbidelli
We define a complex connection on a real hypersurface of $\C^{n+1}$ which is naturally inherited from the ambient space. Using a system of Codazzi-type equations, we classify conne…
math.MG2005
Stability of isometric maps in the Heisenberg group
Nicola Arcozzi, Daniele Morbidelli
In this paper we prove some approximation results for biLipschitz maps in the Heisenberg group. Namely, we show that a biLipschitz map with biLipschitz constant close to one can be…