The classical Steiner formula expresses the volume of the ∈-neighborhood Ω∈ of a bounded and regular domain Ω⊂Rn as a polynomial of degree n in ∈. In particular, the coefficients of this polynomial are the integrals of functions of the curvatures of the boundary ∂Ω. The aim of this note is to present the Heisenberg counterpart of this result. The original motivation for studying this kind of extension is to try to identify a suitable candidate for the notion of horizontal Gaussian curvature. The results presented in this note are contained in the paper [4] written in collaboration with Zoltàn Balogh, Fausto Ferrari, Bruno Franchi and Kevin Wildrick
@article{6693,
title = {Steiner Formula and Gaussian Curvature in the Heisenberg Group},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2017},
doi = {10.6092/issn.2240-2829/6693},
language = {EN},
url = {http://dml.mathdoc.fr/item/6693}
}
Vecchi, Eugenio. Steiner Formula and Gaussian Curvature in the Heisenberg Group. Bruno Pini Mathematical Analysis Seminar, (2017), . doi : 10.6092/issn.2240-2829/6693. http://gdmltest.u-ga.fr/item/6693/