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Homogeneous Riemannian Structures in Thurston Geometries and Contact Riemannian Geometries

International Electronic Journal of Geometry
We 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.
openaire   +2 more sources

Riemannian Geometry Learning for Disease Progression Modelling

Information Processing in Medical Imaging, 2019
M. Louis   +4 more
semanticscholar   +1 more source

Transversal Riemannian Geometry

1997
A 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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Riemannian Geometry

Geometry, Topology and Physics, 2018
Mikio Nakahara
semanticscholar   +1 more source

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