4 citations · 15 across the 13 of their papers we have counts for
17 papers
Effective normalization of sub-Riemannian connections
Erlend Grong, Jan Slovak
We give a new normalization condition for connections on sub-Riemannian manifolds with constant symbols. The condition is formulated in terms of Cartan connections and depends only…
Notes on Tractor Calculus
Jan Slovák, Radek Suchánek
These notes present elementary introduction to tractors based on classical examples, together with glimpses towards modern invariant differential calculus related to vast class of…
Bundles of Weyl structures and invariant calculus for parabolic geometries
Andreas Cap, Jan Slovak
For more than hundred years, various concepts were developed to understand the fields of geometric objects and invariant differential operators between them for conformal Riemannia…
Geodesic Fiber Tracking in White Matter using Activation Function
Temesgen Bihonegn, Sumit Kaushik, Avinash Bansal +2
The geodesic ray-tracing method has shown its effectiveness for the reconstruction of fibers in white matter structure. Based on reasonable metrics on the spaces of the diffusion t…
Non-holonomic equations for the normal extremals in geometric control theory
A. Rod Gover, Jan Slovak
We provide a new and simple system of equations for the normal sub-Riemannian geodesics. These use a partial connection that we show is canonically available, given a choice of com…
Subriemannian metrics and the metrizability of parabolic geometries
David M. J. Calderbank, Jan Slovak, Vladimir Soucek
We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry stu…