7 citations · 11 across the 4 of their papers we have counts for
5 papers
Sub-semi-Riemannian geometry of general -type groups
Mauricio Godoy Molina, Anna Korolko, Irina Markina
We introduce a special class of nilpotent Lie groups of step 2, that generalizes the so called (eisenberg)-type groups, defined by A. Kaplan in 1980. We change the presence of i…
Sub-semi-Riemannian geometry on -type groups
Anna Korolko
We consider (eisenberg)-type groups whose law of left translation gives rise to a bracket generating distribution of step 2. In the contrast with sub-Riemannian studies we furni…
Geodesics on H-type quaternion groups with sub-Lorentzian metric and their physical interpretation
Anna Korolko, Irina Markina
We study the existence and cardinality of normal geodesics of different causal types on H(eisenberg)-type quaternion group equipped with the sub-Lorentzian metric. We present expli…
Semi - Riemannian Geometry with Nonholonomic Constraints
Anna Korolko, Irina Markina
In the present article the geometry of semi-Riemannian manifolds with nonholonomic constraints is studied. These manifolds can be considered as analogues to the sub-Riemannian mani…
Nonholonomic Lorentzian geometry on some -type groups
Anna Korolko, Irina Markina
We consider examples of the -type groups with the natural horizontal distribution generated by the commutation relations of the group. In the contrast with the previous…