The homogeneous geometries of real hyperbolic space

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Título:	The homogeneous geometries of real hyperbolic space
Autor:	Castrillón López, Marco; Gadea, Pedro M. CSIC ORCID; Swann, Andrew F.
Palabras clave:	Real hyperbolic space Homogeneous structure Holonomy
Fecha de publicación:	2013
Editor:	Springer Nature
Citación:	Mediterranean Journal of Mathematics, 10(2):1011-1022(2013)
Resumen:	We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a determination of the types, in the sense of Tricerri and Vanhecke, of the corresponding homogeneous tensors. We use our analysis to show that the moduli space of homogeneous structures on real hyperbolic space has two connected components.
Descripción:	12 pags. ; Artículo aceptado por la Revista; Mathematics Subject Classifiation (2010). Primary 53C30; Secondary 57S25, 58H15.
URI:	http://hdl.handle.net/10261/49060
ISSN:	1660-5446
Aparece en las colecciones:	(CFMAC-IFF) Artículos