M. B. Karmanova, “An example of a Carnot manifold with <nobr>$C^1$</nobr>-smooth basis vector fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, Number 5,Pages <nobr>84

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Brief communications

An example of a Carnot manifold with $C^1$-smooth basis vector fields

M. B. Karmanova

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

Abstract: In this paper we construct an example of a Carnot manifold whose basis vector fields are of class $C^1$ but not of class $C^2$.

Keywords: Carnot manifold, commutator of vector fields.

UDC: 517.18

Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 22.11.2010