TY - JOUR
AU - Vecchi, Eugenio
PY - 2016/01/01
Y2 - 2024/08/05
TI - Steiner Formula and Gaussian Curvature in the Heisenberg Group
JF - Bruno Pini Mathematical Analysis Seminar
JA - BPMAS
VL - 7
IS - 1
SE - Articles
DO - 10.6092/issn.2240-2829/6693
UR - https://mathematicalanalysis.unibo.it/article/view/6693
SP - 97-115
AB - <p>The classical Steiner formula expresses the volume of the ∈-neighborhood Ω<sub>∈ </sub>of a bounded and regular domain Ω⊂R<sup>n</sup> 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</p>
ER -