This article is cited in 1 paper

Brief communications

The local geometry of Carnot manifolds at singular points

S. V. Selivanova

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science, Novosibirsk, Russia

Abstract: In this paper we study the local geometry of Carnot manifolds in a neighborhood of a singular point in the case when horizontal vector fields are $2M$-smooth. Here $M$ is the depth of a Carnot manifold.

Keywords: Carnot manifold, singular point, tangent cone.

UDC: 515.124+514.753

Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 24.02.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:8, 81–84

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