16 citations · 85 across the 41 of their papers we have counts for
48 papers
Invariant integral structures in pseudo -type Lie algebras: construction and classification
Kenro Furutani, Irina Markina
Pseudo -type Lie algebras are a special class of 2-step nilpotent metric Lie algebras, intimately related to Clifford algebras $\Cl_{r,s}$. In this work we propose the classific…
Harmonic maps into sub-Riemannian Lie groups
Erlend Grong, Irina Markina
We define harmonic maps between sub-Riemannian manifolds by generalizing known definitions for Riemannian manifolds. We establish conditions for when a horizontal map into a Lie gr…
Exceptional families of measures on Carnot groups
Bruno Franchi, Irina Markina
We study the families of measures on Carnot groups that have vanishing -module, which we call -exceptional families. We found necessary and sufficient condition for the famil…
Local Invariants and Geometry of the sub-Laplacian on H-type Foliations
Wolfram Bauer, Irina Markina, Abdellah Laaroussi +1
-type foliations are studied in the framework of sub-Riemannian geometry with bracket generating distribution defined as the bundle tr…
Symmetric spaces rolling on flat spaces
V. Jurdjevic, I. Markina, F. Silva Leite
The objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language…
Sub-Riemannian geodesics on nested principal bundles
Mauricio Godoy Molina, Irina Markina
We study the interplay between geodesics on two non-holono\-mic systems that are related by the action of a Lie group on them. After some geometric preliminaries, we use the Hamilt…