INVESTIGADORES
LAURET Jorge Ruben
artículos
Título:
Convergence of homogeneous manifolds
Autor/es:
JORGE LAURET
Revista:
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
Editorial:
OXFORD UNIV PRESS
Referencias:
Año: 2012 vol. 86 p. 701 - 727
ISSN:
0024-6107
Resumen:
We study in this paper three natural notions of convergence of homogeneous manifolds, namely infinitesimal, local and pointed, and their relationship with a fourth one, which only takes into account the underlying algebraic structure of the homogeneous manifold and is indeed much more tractable.  Along the way, we introduce a subset of the variety of Lie algebras which parameterizes the space of all $n$-dimensional simply connected homogeneous spaces with $q$-dimensional isotropy, providing a framework which is very advantageous to approach variational problems for curvature functionals as well as geometric evolution equations on homogeneous manifolds.