127 citations · 149 across the 10 of their papers we have counts for
4 papers · 1 filter
Decomposition and characterization of curl forces for all space dimensions
Radosław Antoni Kycia
This paper introduces a PDE-free algorithmic framework for the local decomposition of classical forces in arbitrary dimensions. By representing a force field as a differential -…
Cartan Connection for Schrödinger equation. The nature of vacuum
Radosław A. Kycia
We reinterpret the Schrödinger equation as a continuity equation in the space with the Cartan connection given by scaling Lie-Bäcklund group on a specific jet space. In this space,…
Integrability of geodesics of totally geodesic metrics
Radosław A. Kycia, Maria Ułan
Analysis of the geodesics in the space of signature that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones -…
On the solutions of the critical Lane-Emden equation in higher space dimensions
Radoslaw Antoni Kycia, Galina Filipuk
In this paper we study solutions of the critical Lane-Emden equation in higher space dimensions. We show that after certain transformations the general solution can be written in t…