Isometries of almost-Riemannian structures on Lie groups
نویسندگان
چکیده
منابع مشابه
Almost-Riemannian Geometry on Lie Groups
A simple Almost-Riemannian Structure on a Lie group G is defined by a linear vector field (that is an infinitesimal automorphism) and dim(G) − 1 left-invariant ones. We state results about the singular locus, the abnormal extremals and the desingularization of such ARS’s, and these results are illustrated by examples on the 2D affine and the Heisenberg groups. These ARS’s are extended in two wa...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2018
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2018.08.003