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University of Bergen
Irina Markina's picture

Irina Markina

Professor
Department of Mathematics
Home Page
  • E-mailirina.markina@uib.no
  • Phone+47 55 58 28 53
  • Visitor Address
    Allégaten 41
    Realfagbygget
    5007 Bergen
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • Show author(s) (2023). Symmetric Spaces Rolling on Flat Spaces. Journal of Geometric Analysis.
  • Show author(s) (2021). Sub-riemannian geodesics on nested principal bundles. Lecture Notes in Electrical Engineering. 82-92.
  • Show author(s) (2021). Automorphism groups of pseudo H-type algebras. Journal of Algebra. 91-138.
  • Show author(s) (2021). An extrinsic approach to sub-riemannian geodesics on the orthogonal group. Lecture Notes in Electrical Engineering. 274-283.
  • Show author(s) (2021). A lagrangian approach to extremal curves on stiefel manifolds. Journal of Geometric Mechanics (JGM). 55-72.
  • Show author(s) (2020). Fundamental solutions of a class of ultra-hyperbolic operators on pseudo H-type groups. Advances in Mathematics.
  • Show author(s) (2019). The Laguerre calculus on the nilpotent Lie groups of step two. Journal of Mathematical Analysis and Applications. 1855-1882.
  • Show author(s) (2019). Submersions and curves of constant geodesic curvature. Mathematische Nachrichten. 1956-1971.
  • Show author(s) (2019). Flat approximations of hypersurfaces along curves. Manuscripta mathematica. 1-11.
  • Show author(s) (2019). Extremal Curves on Stiefel and Grassmann Manifolds. Journal of Geometric Analysis.
  • Show author(s) (2019). Complete classification of pseudo H-type algebras: II. Geometriae Dedicata. 1-32.
  • Show author(s) (2018). Pseudo-metric 2-step nilpotent Lie algebras. Advances in Geometry. 237-263.
  • Show author(s) (2018). Lie algebras attached to Clifford modules and simple graded Lie algebras. Journal of Lie theory. 843-864.
  • Show author(s) (2017). Sub-riemannian geometry and hypoelliptic operators. Trends in Mathematics. 89-198.
  • Show author(s) (2017). Rigidity of 2-step carnot groups. Journal of Geometric Analysis. 1477-1501.
  • Show author(s) (2017). Extremal functions for modules of systems of measures. Journal d'Analyse Mathematique. 335-359.
  • Show author(s) (2017). Complete classification of pseudo H-type Lie algebras: I. Geometriae Dedicata. 1-29.
  • Show author(s) (2016). On the Hodge-type decomposition and cohomology groups of k-Cauchy-Fueter complexes over domains in the quaternionic space. Journal of Geometry and Physics. 15-34.
  • Show author(s) (2016). Modules of systems of measures on polarizable Carnot groups. Arkiv för matematik. 371-401.
  • Show author(s) (2016). Introduction to the intrinsic rolling with indefinite metric. Communications in analysis and geometry. 1085-1106.
  • Show author(s) (2016). Evolution of smooth shapes and integrable systems. Computational methods in Function Theory. 203-229.
  • Show author(s) (2015). Sub-Riemannian Geometry on Infinite-Dimensional Manifolds. Journal of Geometric Analysis. 2474-2515.
  • Show author(s) (2015). Rolling against a sphere: the non-transitive case. Journal of Geometric Analysis. 21 pages.
  • Show author(s) (2015). Free nilpotent and H-type Lie algebras. Combinatorial and orthogonal designs. Journal of Pure and Applied Algebra. 5467-5492.
  • Show author(s) (2014). Sub-Riemannian geometry of Stiefel manifolds. SIAM Journal of Control and Optimization. 939-959.
  • Show author(s) (2014). Existence of lattices on general H-type groups. Journal of Lie theory. 979-1011.
  • Show author(s) (2014). Controllability on Infinite-Dimensional Manifolds: A Chow-Rashevsky Theorem. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications. 229-246.
  • Show author(s) (2013). Sub-semi-Riemannian geometry of general H-type groups. Bulletin des Sciences Mathématiques. 805-833.
  • Show author(s) (2013). On the Cauchy-Szegö kernel for quaternion siegel upper half-space. Complex Analysis and Operator Theory. 1623-1654.
  • Show author(s) (2012). Sub-Riemannian geodesics and heat operator on odd dimensional spheres. Analysis and Mathematical Physics. 123-147.
  • Show author(s) (2012). An intrinsic formulation of the problem on rolling manifolds. Journal of Dynamical and Control Systems. 181-214.
  • Show author(s) (2011). Sub-Riemannian geometry of parallelizable spheres. Revista matemática iberoamericana. 997-1022.
  • Show author(s) (2011). SEMI-RIEMANNIAN GEOMETRY WITH NONHOLONOMIC CONSTRAINTS. Taiwanese journal of mathematics. 1581-1616.
  • Show author(s) (2011). Hopf fibration: Geodesics and distances. Journal of Geometry and Physics. 986-1000.
  • Show author(s) (2010). Virasoro algebra and dynamics in the space of univalent functions. Contemporary Mathematics. 85-116.
  • Show author(s) (2010). Modified action and differential operators on the 3-D sub-Riemannian sphere. Asian Journal of Mathematics. 439-473.
  • Show author(s) (2010). Geodesics on H-type Quaternion Groups with Sub-Lorentzian Metric and Their Physical Interpretation. Complex Analysis and Operator Theory. 589-618.
  • Show author(s) (2009). SubRiemannian Geometry on the Sphere S-3. Canadian Journal of Mathematics (CJM). 721-739.
  • Show author(s) (2009). Sub-Riemannian geodesics on the 3-D sphere. Complex Analysis and Operator Theory. 361-377.
  • Show author(s) (2009). Nonholonomic lorentzian geometry on some H-type groups. Journal of Geometric Analysis. 864-889.
  • Show author(s) (2009). Geometric analysis on H-type groups related to division algebras. Mathematische Nachrichten. 44-68.
  • Show author(s) (2008). Sub-Lorentzian geometry on anti-de Sitter space. Journal des Mathématiques Pures et Appliquées. 82-110.
  • Show author(s) (2008). Quaternion H-type group and differential operator Delta(lambda). Science in China Series A: Mathematics. 523-540.
  • Show author(s) (2008). Geometric analysis on quaternion anisotropic Carnot groups. Doklady. Mathematics. 124-129.
  • Show author(s) (2007). Sub-Riemannian geometry of the coefficients of univalent functions. Journal of Functional Analysis. 475-492.
  • Show author(s) (2007). On a Saffman-Taylor problem in an infinite wedge. Applicable Analysis. 239-250.
  • Show author(s) (2007). Finite dimensional grading of the Virasoro algebra. Georgian Mathematical Journal. 419-434.
  • Show author(s) (2007). Anisotropic quaternion carnot groups: Geometric analysis and green function. Advances in Applied Mathematics. 345-394.
  • Show author(s) (2006). On value distribution for quasimeromorphic mappings on H-type Carnot groups. Bulletin des Sciences Mathématiques. 467-523.
  • Show author(s) (2006). Geometric analysis on quaternion H-type groups. Journal of Geometric Analysis. 265-294.
Academic anthology/Conference proceedings
  • Show author(s) (2022). Geometry, Lie Theory and Applications: The Abel Symposium 2019. Springer.
Doctoral dissertation
  • Show author(s) (2017). Analytical, combinatorial and topological properties of quadratic differentials and their applications.
  • Show author(s) (2011). Sub-Riemannian geometry of spheres and rolling of manifolds.
Academic chapter/article/Conference paper
  • Show author(s) (2016). Geodesics in Geometry With Constraints and Applications. 162 pages.
  • Show author(s) (2013). Löwner-Kufarev Evolution in the Segal-Wilson Grassmannian. 11 pages.
  • Show author(s) (2012). Sub-Riermannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. 20 pages.
  • Show author(s) (2011). Rolling manifolds : an intrinsic perspective. 14 pages.
  • Show author(s) (2011). Nonholonomic semi-Riemannian geometry with examples on H-type groups. 14 pages.
  • Show author(s) (2009). Generalized Hamilton-jacobi Equation and Heat kernel. 28 pages.
Foreword
  • Show author(s) (2022). Geometry, Lie Theory and Applications: The Abel Symposium 2019.

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