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Homogeneous Riemannian Structures in Thurston Geometries and Contact Riemannian Geometries
International Electronic Journal of GeometryWe give explicit parametrizations for all the homogeneous Riemannian structures on model spaces of Thurston geometry. As an application, we give all the homogeneous contact metric structures on $3$-dimensional Sasakian space forms.
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Riemannian Geometry Learning for Disease Progression Modelling
Information Processing in Medical Imaging, 2019M. Louis +4 more
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Transversal Riemannian Geometry
1997A Riemannian metricg Q on the normal bundleQof a foliation F is holonomy invariant, if $$\theta \left( V \right){{g}_{Q}} = 0{\text{ for all }}V \in \Gamma L$$ (5.1) . Here we have by definition fors\(s' \in \Gamma Q\) $$\left( {\theta \left( V \right){{g}_{Q}}} \right)\left( {s,s'} \right) = V{{g}_{Q}}\left( {s,s'} \right) - {{g}_{Q ...
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Introduction to geodesics in sub-Riemannian geometry
, 2016A. Agrachev, D. Barilari, U. Boscain
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