INVESTIGADORES
BARBERIS Maria Laura Rita
artículos
Título:
On Certain Locally Homogeneous Clifford Manifolds
Autor/es:
M. L. BARBERIS, I. DOTTI, R. MIATELLO
Revista:
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Editorial:
SPRINGER
Referencias:
Lugar: Dordrecht; Año: 1995 vol. 13 p. 289 - 301
ISSN:
0232-704X
Resumen:
Given a manifold M, a Clifford structure of order m on M is a family of m anticommuting complex structures generating a subalgebra of dimension 2^m of End(T(M)). In this paper we investigate the existence of locally invariant Clifford structures of order m > 1 on a class of locally homogeneous manifolds. We study the case of solvable extensions of H-type groups, showing in particular that the solvable Lie groups corresponding to the symmetric spaces of negative curvature carry invariant Clifford structures of order m > 1. We also show that for each m and any finite group F, there is a compact flat manifold with holonomy group F and carrying a Clifford structure of order m.
