• Automorphism groups of pseudo H-type algebras 

      Furutani, Kenro; Markina, Irina (Journal article; Peer reviewed, 2021)
      In the present paper we determine the group of automorphisms of pseudo H-type Lie algebras, that are two step nilpotent Lie algebras closely related to the Clifford algebras Cl(Rr,s).
    • Controllability on Infinite-Dimensional Manifolds: A Chow-Rashevsky Theorem 

      Khajeh Salehani, Mahdi; Markina, Irina (Peer reviewed; Journal article, 2014-04-29)
      One of the fundamental problems in control theory is that of controllability, the question of whether one can drive the system from one point to another with a given class of controls. A classical result in geometric control ...
    • A lagrangian approach to extremal curves on stiefel manifolds 

      Hüper, Knut; Markina, Irina; Leite, Fátima Silva (Journal article; Peer reviewed, 2021)
      A unified framework for studying extremal curves on real Stiefel manifolds is presented. We start with a smooth one-parameter family of pseudo-Riemannian metrics on a product of orthogonal groups acting transitively on ...
    • Modified action and differential operators on the 3-D sub-Riemannian sphere 

      Chang, Der-Chen; Markina, Irina; Vasiliev, Alexander (Peer reviewed; Journal article, 2010-12)
      Our main aim is to present a geometrically meaningful formula for the fundamental solutions to a second order sub-elliptic differential equation and to the heat equation associated with a sub-elliptic operator in the ...