Reference : Model spaces in sub-Riemannian geometry
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/28741
Model spaces in sub-Riemannian geometry
English
Grong, Erlend mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
27
No
[en] Sub-Riemannian geometries ; model spaces ; isometries
[en] We consider sub-Riemannian spaces admitting an isometry group that is maximal in the sense that any linear isometry of the horizontal tangent spaces is realized by a global isometry. We will show that these spaces have a canonical partial connection defined on their horizontal bundle. However, unlike the Riemannian case, such spaces are not uniquely determined by their curvature and their metric tangent cone. Furthermore, the number of invariants needed to determine model spaces with the same tangent cone is in general greater than one.
Researchers
http://hdl.handle.net/10993/28741
https://arxiv.org/abs/1610.07359
FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry of random evolutions > 01/03/2015 > 28/02/2018 > 2014

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