INVESTIGADORES
OLMOS Carlos Enrique
artículos
Título:
Cones and Cartan geometry
Autor/es:
ANTONIO J. DI SCALA; CARLOS OLMOS; FRANCISCO VITTONE
Revista:
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2021 vol. 78
ISSN:
0926-2245
Resumen:
We show that the extended principal bundle of a Cartan geometry of type (A(m.R), GL(m,R)), endowed with its extended connection , is isomorphic to the principal A(m,R)-bundle of affine frames endowed with the affine connection as defined in classical Kobayashi-Nomizu volume I.Then we classify the local holonomy groups of the Cartan geometry canonically associated to a Riemannian manifold. It follows that if the holonomy group of the Cartan geometry canonically associated to a Riemannian manifold is compact then the Riemannian manifold is locally a product of cones.
