Blar i Bergen Open Research Archive på forfatter "Markina, Irina"
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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 ...