CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
4-step Carnot spaces and the k-stein condition
Autor/es:
DRUETTA MARIA J.
Revista:
REVISTA DE LA UNIóN MATEMáTICA ARGENTINA
Editorial:
UMA
Referencias:
Lugar: Bahia Blanca; Año: 2006 vol. 47 p. 9 - 21
ISSN:
0041-6932
Resumen:
We consider the 2-stein condition on k-step Carnot spaces S. These spaces are a subclass of the family of solvable Lie groups of Iwasawa type of algebraic rank one and contain the homogeneous Einstein spaces within this class. They are the semidirect product of a graded nilpotent Lie group N and the abelian group R. We show that the 2-stein condition is not satisfied on a proper 4-step generalized Carnot space.

