Cones and Cartan geometry
نویسندگان
چکیده
We show that the extended principal bundle of a Cartan geometry type (A(m,R),GL(m,R)), endowed with its connection ωˆ, is isomorphic to A(m,R)-bundle affine frames as defined in classical Kobayashi-Nomizu volume I. Then we classify local holonomy groups canonically associated Riemannian manifold. It follows if group manifold compact then locally product cones.
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ژورنال
عنوان ژورنال: Differential Geometry and Its Applications
سال: 2021
ISSN: ['1872-6984', '0926-2245']
DOI: https://doi.org/10.1016/j.difgeo.2021.101793