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Irina Markina

Professor
  • E-mailIrina.Markina@uib.no
  • Phone+47 55 58 28 53+47 464 43 119
  • Visitor Address
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • 2019. The Laguerre calculus on the nilpotent Lie groups of step two. Journal of Mathematical Analysis and Applications. 1855-1882.
  • 2019. Submersions and curves of constant geodesic curvature. Mathematische Nachrichten. 1956-1971.
  • 2019. Flat approximations of hypersurfaces along curves. Manuscripta mathematica. 1-11.
  • 2019. Extremal Curves on Stiefel and Grassmann Manifolds. Journal of Geometric Analysis.
  • 2019. Complete classification of pseudo H-type algebras: II. Geometriae Dedicata. 1-32.
  • 2018. Pseudo-metric 2-step nilpotent Lie algebras. Advances in Geometry. 237-263.
  • 2018. Lie algebras attached to Clifford modules and simple graded Lie algebras. Journal of Lie theory. 843-864.
  • 2017. Sub-riemannian geometry and hypoelliptic operators. Trends in Mathematics. 89-198.
  • 2017. Rigidity of 2-step carnot groups. Journal of Geometric Analysis. 1477-1501.
  • 2017. Extremal functions for modules of systems of measures. Journal d'Analyse Mathematique. 335-359.
  • 2017. Complete classification of pseudo H-type Lie algebras: I. Geometriae Dedicata. 1-29.
  • 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.
  • 2016. Modules of systems of measures on polarizable Carnot groups. Arkiv för matematik. 371-401.
  • 2016. Evolution of smooth shapes and integrable systems. Computational methods in Function Theory. 203-229.
  • 2015. Sub-Riemannian Geometry on Infinite-Dimensional Manifolds. Journal of Geometric Analysis. 2474-2515.
  • 2015. Rolling against a sphere: the non-transitive case. Journal of Geometric Analysis. 21 pages.
  • 2015. Free nilpotent and H-type Lie algebras. Combinatorial and orthogonal designs. Journal of Pure and Applied Algebra. 5467-5492.
  • 2014. Sub-Riemannian geometry of Stiefel manifolds. SIAM Journal of Control and Optimization. 939-959.
  • 2014. Existence of lattices on general H-type groups. Journal of Lie theory. 979-1011.
  • 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.
  • 2013. Sub-semi-Riemannian geometry of general H-type groups. Bulletin des Sciences Mathématiques. 805-833.
  • 2013. On the Cauchy-Szegö kernel for quaternion siegel upper half-space. Complex Analysis and Operator Theory. 1623-1654.
  • 2012. Sub-Riemannian geodesics and heat operator on odd dimensional spheres. Analysis and Mathematical Physics. 123-147.
  • 2012. An intrinsic formulation of the problem on rolling manifolds. Journal of Dynamical and Control Systems. 181-214.
  • 2011. Sub-Riemannian geometry of parallelizable spheres. Revista matemática iberoamericana. 997-1022.
  • 2011. SEMI-RIEMANNIAN GEOMETRY WITH NONHOLONOMIC CONSTRAINTS. Taiwanese journal of mathematics. 1581-1616.
  • 2011. Hopf fibration: Geodesics and distances. Journal of Geometry and Physics. 986-1000.
  • 2010. Virasoro algebra and dynamics in the space of univalent functions. Contemporary Mathematics. 85-116.
  • 2010. Modified action and differential operators on the 3-D sub-Riemannian sphere. Asian Journal of Mathematics. 439-473.
  • 2010. Geodesics on H-type Quaternion Groups with Sub-Lorentzian Metric and Their Physical Interpretation. Complex Analysis and Operator Theory. 589-618.
  • 2009. SubRiemannian Geometry on the Sphere S-3. Canadian Journal of Mathematics (CJM). 721-739.
  • 2009. Sub-Riemannian geodesics on the 3-D sphere. Complex Analysis and Operator Theory. 361-377.
  • 2009. Nonholonomic lorentzian geometry on some H-type groups. Journal of Geometric Analysis. 864-889.
  • 2009. Geometric analysis on H-type groups related to division algebras. Mathematische Nachrichten. 44-68.
  • 2008. Sub-Lorentzian geometry on anti-de Sitter space. Journal des Mathématiques Pures et Appliquées. 82-110.
  • 2008. Quaternion H-type group and differential operator Delta(lambda). Science in China Series A: Mathematics. 523-540.
  • 2008. Geometric analysis on quaternion anisotropic Carnot groups. Doklady. Mathematics. 124-129.
  • 2007. Sub-Riemannian geometry of the coefficients of univalent functions. Journal of Functional Analysis. 475-492.
  • 2007. On a Saffman-Taylor problem in an infinite wedge. Applicable Analysis. 239-250.
  • 2007. Finite dimensional grading of the Virasoro algebra. Georgian Mathematical Journal. 419-434.
  • 2007. Anisotropic quaternion carnot groups: Geometric analysis and green function. Advances in Applied Mathematics. 345-394.
  • 2006. On value distribution for quasimeromorphic mappings on H-type Carnot groups. Bulletin des Sciences Mathématiques. 467-523.
  • 2006. Geometric analysis on quaternion H-type groups. Journal of Geometric Analysis. 265-294.
Doctoral dissertation
  • 2017. Analytical, combinatorial and topological properties of quadratic differentials and their applications.
  • 2011. Sub-Riemannian geometry of spheres and rolling of manifolds.
Academic chapter/article/Conference paper
  • 2016. Geodesics in Geometry With Constraints and Applications. 162 pages.
  • 2013. Löwner-Kufarev Evolution in the Segal-Wilson Grassmannian. 11 pages.
  • 2012. Sub-Riermannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. 20 pages.
  • 2011. Rolling manifolds : an intrinsic perspective. 14 pages.
  • 2011. Nonholonomic semi-Riemannian geometry with examples on H-type groups. 14 pages.
  • 2009. Generalized Hamilton-jacobi Equation and Heat kernel. 28 pages.

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