Personal Webpage of Irina Markina

Professor of Mathematics at the University of Bergen

Publications

On examples of geodesic orbit pseudo-Riemannian manifolds

Irina Markina, Yuri Nikonorov, Kenro Furutani

2026

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Local invariants and geometry of the sub-Laplacian on H-type foliations

Wolfram Bauer, Irina Markina, Abdellah Laaroussi, Sylvie Vega-Molino

2026

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Curvature of measure-preserving diffeomorphism groups of non-orientable surfaces

Boris Khesin, Rene Langoen, Irina Markina

2025

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Stokes graphs on the Rabi problem with real parameters

Rene Langoen, Irina Markina, Alexander Solynin

2024

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Symmetric spaces rolling on flat spaces

Velimir Jurdjevic, Irina Markina, Fatima Silva Leite

2023

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Harmonic maps into sub-Riemannian Lie groups

Erlend Grong, Irina Markina

2023

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Exceptional families of measures on Carnot groups

Bruno Franchi, Irina Markina

2023

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Automorphism groups of pseudo H-type algebras

Kenro Furutani, Irina Markina

2021

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A Lagrangian approach to extremal curves on Stiefel manifolds

Knut Hueper, Irina Markina, Fatima Silva Leite

2021

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Sub-Riemannian geodesics on nested principal bundles

Mauricio Godoy Molina, Irina Markina

2020

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Fundamental solutions of aclass of ultra-hyperbolic operators on pseudo H-type groups

Wolfram Bauer, Andre Froehly, Irina Markina

2020

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Extremal curves on Stiefel and Grassmann manifolds

Velimir Jurdjevic, Irina Markina, Fatima Silva Leite

2020

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An Extrinsic Approach to sub-Riemannian geodesics on the orthogonal group

Knut Hueper, Irina Markina, Fatima Silva Leite

2020

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The Laguerre calculus on the nilpotent Lie groups of step two

Der Chen Chang, Irina Markina, Wei Wang

2019

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Submersions and curves of constant geodesic curvature

Mauricio Godoy Molina, Erlend Grong, Irina Markina

2019

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Flat approximation of hypersurfaces along curves

Irina Markina, Matteo Raffaelli

2019

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Complete classificationof pseudo H-type algebras: II

Kenro Furutani, Irina Markina

2019

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Rigidity of 2-step Carnot groups

Mauricio Godoy Molina, Boris Kruglikov, Irina Markina, Alexander Vasil'ev

2018

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Pseudo metric 2-step nilpotent Lie algebras

Christian Autenried, Kenro Furutani, Irina Markina, Alexander Vasil'ev

2018

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Lie algebras attached to Clifford modules and simple graded Lie algebras

Kenro Furutani, Mauricio Godoy Molina, Irina Markina, Tohru Morimoto, Alexander Vasil'ev

2018

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Sub-Riemannian geometry and hypoelliptic operators

Irina Markina

2017

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Extremal functions for modules of systems of measures

Melkana Brakalova, Irina Markina, Alexander Vasil'ev

2017

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Complete classification of pseudo H-type Lie algebras: I

Kenro Furutani, Irina Markina

2017

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Rolling against a sphere: the non-transitive case

Yacine Chitour, Mauricio Godoy Molina, Petri Kokkonen, Irina Markina

2016

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On the Hodge-type decomposition and cohomology groups of k-Cauchy-Fueter complexes over domains in the quaternionic space

Der Chen Chang, Irina Markina, Wei Wang

2016

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Modules of systems of measures on polarizableCarnot groups

Melkana Brakalova, Irina Markina, Alexander Vasil'ev

2016

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Introduction to the intrinsic rolling with indefinite metric

Irina Markina, Fatima Silva Leite

2016

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Geodesics in geometry with constraints and applications

Irina Markina

2016

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Evolution of smooth shapes and integrable systems

Irina Markina, Alexander Vasil'ev

2016

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Sub-Riemannian structure corresponding to Kaehlerian metric on the universal Teichmuller space and curve

Erlend Grong, Irina Markina, Alexander Vasil'ev

2015

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Sub-Riemannian geometry of infinite dimensional manifolds

Erlend Grong, Irina Markina, Alexander Vasil'ev

2015

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Free nilpotent and H-type Lie algebras. Combinatorial and orthogonal designs

Kenro Furutani, Irina Markina, Alexander Vasil'ev

2015

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Sub-Riemannian geometry of Stiefel manifolds

Christian Autenried, Irina Markina

2014

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On the Alexandrov topology of sub-Lorentzian manifolds

Irina Markina, Stephan Wojtowytsch

2014

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Existence of lattices on general H-type groups

Kenro Furutani, Irina Markina

2014

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Controllability on infinite-dimensional manifolds: a Chow-Rashevsky Theorem

Mahdi Khajeh Salehani, Irina Markina

2014

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Sub-semi-Riemannian geometry of genera; H-type groups

Mauricio Godoy Molina, Anna Korolko, Irina Markina

2013

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On the Cauchy-Szegoe kernel of quaternion Siegel upper half-space

Der Chen Chang, Irina Markina, Wei Wang

2013

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Loewner - Kufarev evolution in the Segal-Wilson Grassmannian

Irina Markina, Alexander Vasil'ev

2013

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Sub-Riemannian geodesics and heat operator on odd dimensional spheres

Mauricio Godoy Molina, Irina Markina

2012

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An intrinsic formulation of the problem of rolling manifolds

Mauricio Godoy Molina, Erlend Grong, Irina Markina, Fatima Silva Leite

2012

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Sub-Riemannian geometry of parallelizable spheres

Mauricio Godoy Molina, Irina Markina

2011

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Hopf fibration: geodesics and distances

Der Chen Chang, Irina Markina, Alexander Vasil'ev

2011

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Virasoro algebra and dynamics in the space of univalent functions

Irina Markina, Alexander Vasil'ev

2010

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Semi-Riemannian geometry with nonholonomic constraints

Anna Korolko, Irina Markina

2010

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Modified action and differential operators on the 3-D sub-Riemannian sphere

Der Chen Chang, Irina Markina, Alexander Vasil'ev

2010

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Geodesics on H-type quaternion groups with sub-Lorentzian metric and their physical interpretation

Anna Korolko, Irina Markina

2010

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Sub-Riemannian geometry on the sphere S^3

Ovidiu Calin, Der Chen Chang, Irina Markina

2009

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Sub-Riemannian geodesics on the 3-D sphere

Der Chen Chang, Irina Markina, Alexander Vasil'ev

2009

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Nonholonomic Lorentzian Geometry on some H-type groups

Anna Korolko, Irina Markina

2009

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Geometric analysis on H-type groups related to division algebras

Ovidiu Calin, Der Chen Chang, Irina Markina

2009

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Generalized Hamilton-Jacobi equation and heat kernel on step two nilpotent groups

Ovidiu Calin, Der Chen Chang, Irina Markina

2009

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Sub-Lorentzian geometry on anti-de Sitter space

Der Chen Chang, Irina Markina, Alexander Vasil'ev

2008

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Quaternion H-type group and differential operator

Der Chen Chang, Irina Markina

2008

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Geometric analysis on quaternion anisotropic Carnot groups

Der Chen Chang, Irina Markina

2008

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Sub-Riemannian geometry of the coefficients of univalent functions

Irina Markina, Dmitri Prokhorov, Alexander Vasil'ev

2007

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On a Saffman-Taylor problem in an infinite wedge

Irina Markina, Rodrigo Meneses, Alexander Vasil'ev

2007

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Finite dimensional grading of the Virasoro algebra

Ruben A. Hidalgo, Irina Markina, Alexander Vasil'ev

2007

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Anisotropic quaternion Carnot groups: geometric analysis and Green function

Der Chen Chang, Irina Markina

2007

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Geometric analysis on quaternion H-type groups

Der Chen Chang, Irina Markina

2006

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On value distributions for quasimeromorphic mappings on H-type Carnot groups

Sergey K. Vodop'yanov, Irina Markina

2006

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Potential theory: the origin and applications

Irina Markina

2006

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Singularities of quasiregular mappings on Carnot groups

Irina Markina

2005

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Module of vector measures on the Heisenberg group

Irina Markina

2005

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Value distribution of quasimeromorphic mappings on polarizable Carnot groups

Sergey K. Vodop'yanov, Irina Markina

2005

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p-Module of vector measures in domains with intrinsic metric on Carnot groups

Irina Markina

2004

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Explicit solutions for the Hele-Shaw corner flow

Irina Markina, Alexander Vasil'ev

2004

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On the geometry of Hele-Shaw flows with small surface tension

Irina Markina, Alexander Vasil'ev

2003

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On coincidence of p-modules of families of curves and p-capacities on the Carnot group

Irina Markina

2003

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Long-pin perturbationsof the trivial solutions for Hele-Shaw corner flows

Irina Markina, Alexander Vasil'ev

2003

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Hausdorff measure of the singular set of quasiregular maps on Carnot groups

Irina Markina

2003

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Extremal lengths for mappings with bounded s-distortion on Carnot groups

Irina Markina

2003

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Extremal widths on homogeneous groups

Irina Markina

2003

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Extremal length for quasiregular mapping on Heisenberg groups

Irina Markina

2003

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On local homeomorphism of mappings with bounded distortion with the coefficient of distortion close to identity

Irina Markina

2002

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Classification of sub-Riemannian manifolds

Sergey K. Vodop'yanov, Irina Markina

1998

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Fundamentals of the nonlinear potential theory for subelliptic equations: II

Sergey K. Vodop'yanov, Irina Markina

1997

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Fundamentals of the nonlinear potential theory for subelliptic equations: I

Sergey K. Vodop'yanov, Irina Markina

1997

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Exceptional sets for solutions to subelliptic equations

Sergey K. Vodop'yanov, Irina Markina

1995

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A change of variable that preserves the differential properties of functions

Irina Markina

1990

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