Results 11 to 16 of about 108 (16)
Homogeneous geodesics in homogeneous Finsler spaces
, 2007 In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the
Arnold +14 more
core +2 more sources
On the Analytic Structure of Commutative Nilmanifolds [PDF]
, 2014 In the classification theorems of Vinberg and Yakimova for commutative nilmanifolds, the relevant nilpotent groups have a very surprising analytic property.
Wolf, Joseph A.
core
Looking for K\"ahler- Einstein Structure on Cartan Spaces with Berwald connection [PDF]
, 2010 A Cartan manifold is a smooth manifold M whose slit cotangent bundle T*M0 is endowed with a regular Hamiltonian K which is positively homogeneous of degree 2 in momenta.
Ahmadi, A., Peyghan, E., Tayebi, A.
core
Approximability of convex bodies and volume entropy in Hilbert geometry
, 2016 The approximability of a convex body is a number which measures the difficulty to approximate that body by polytopes. We prove that twice the approximability is equal to the volume entropy for a Hilbert geometry in dimension two end three and that in ...
Vernicos, Constantin
core +3 more sources
Unique geodesics for Thompson's metric [PDF]
, 2013 In this paper a geometric characterization of the unique geodesics in Thompson's metric spaces is presented. This characterization is used to prove a variety of other geometric results.
Lemmens, Bas, Roelands, Mark
core
Asymptotic volume in Hilbert Geometries
, 2012 We prove that the metric balls of a Hilbert geometry admit a volume growth at least polynomial of degree their dimension. We also characterise the convex polytopes as those having exactly polynomial volume growth of degree their ...
Vernicos, Constantin
core