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Erlend Grong's picture

Erlend Grong

Department of Mathematics
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  • E-mailerlend.grong@uib.no
  • Visitor Address
    Allégaten 41
    Realfagbygget
    5007 Bergen
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • Show author(s) (2022). Most Probable Paths for Anisotropic Brownian Motions on Manifolds. Foundations of Computational Mathematics.
  • Show author(s) (2022). H-type foliations. Differential geometry and its applications.
  • Show author(s) (2022). Geometric rough paths on infinite dimensional spaces. Journal of Differential Equations. 151-178.
  • Show author(s) (2022). Curvature and the equivalence problem in sub-Riemannian geometry. Archivum mathematicum. 295-327.
  • Show author(s) (2022). A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations. Annals of Global Analysis and Geometry. 759-776.
  • Show author(s) (2021). On G2 and sub-Riemannian model spaces of step and rank three. Mathematische Zeitschrift. 1853-1885.
  • Show author(s) (2021). Model spaces in sub-Riemannian geometry. Communications in analysis and geometry. 77-113.
  • Show author(s) (2021). Functional inequalities on path space of sub-Riemannian manifolds and applications. Nonlinear Analysis.
  • Show author(s) (2020). Radial processes for sub-Riemannian Brownian motions and applications. Electronic Journal of Probability (EJP). 17 pages.
  • Show author(s) (2019). Transverse Weitzenbock formulas and de Rham cohomology of totally geodesic foliations. Annals of Global Analysis and Geometry. 403-428.
  • Show author(s) (2019). Submersions and curves of constant geodesic curvature. Mathematische Nachrichten. 1956-1971.
  • Show author(s) (2019). Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. Calculus of Variations and Partial Differential Equations.
  • Show author(s) (2019). Horizontal holonomy and foliated manifolds. Annales de l'Institut Fourier. 1047-1086.
  • Show author(s) (2019). A Lichnerowicz estimate for the spectral gap of a sub-Laplacian. Proceedings of the American Mathematical Society. 5153-5166.
  • Show author(s) (2018). Stochastic Completeness and Gradient Representations for Sub-Riemannian Manifolds. Potential Analysis. 219-254.
  • Show author(s) (2018). Asymptotic expansion of holonomy. Forum mathematicum. 1363-1385.
  • Show author(s) (2017). Riemannian and sub-Riemannian geodesic flows. Journal of Geometric Analysis. 1260-1273.
  • Show author(s) (2016). Submersions, Hamiltonian systems, and optimal solutions to the rolling manifolds problem. SIAM Journal of Control and Optimization. 536-566.
  • Show author(s) (2016). Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part II. Mathematische Zeitschrift. 131-164.
  • Show author(s) (2016). Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part I. Mathematische Zeitschrift. 99-130.
  • Show author(s) (2015). Sub-Riemannian Geometry on Infinite-Dimensional Manifolds. Journal of Geometric Analysis. 2474-2515.
  • Show author(s) (2014). Geometric conditions for the existence of a rolling without twisting or slipping. Communications on Pure and Applied Analysis. 435-452.
  • Show author(s) (2012). Controllability of rolling without twisting or slipping in higher dimensions. SIAM Journal of Control and Optimization. 2462-2485.
  • 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 and sub-Lorentzian geometry on SU(1,1) and on its universal cover. Journal of Geometric Mechanics (JGM). 225-260.
  • Show author(s) (2009). Matching univalent functions and conformal welding. Annales Academiae Scientiarum Fennicae Mathematica. 303-314.
Academic lecture
  • Show author(s) (2021). Path space on sub-Riemannian manifolds.
  • Show author(s) (2021). Geometric rough paths on Hilbert spaces.
  • Show author(s) (2021). Geometric rough paths on Hilbert spaces.
  • Show author(s) (2020). Geometric rough paths on Hilbert spaces.
  • Show author(s) (2019). Hamiltonians and Geometry.
  • Show author(s) (2019). Curvature of sub-Riemannian manifolds.
  • Show author(s) (2019). Asymptotic expansions of holonomy.
  • Show author(s) (2018). Sub-Laplacians on forms and cohomology.
  • Show author(s) (2018). Comparison theorems for the sub-Laplacians.
  • Show author(s) (2017). Sub-Laplacians and the curvature dimension inequality.
  • Show author(s) (2017). Rumin complexes and the Laplacian on forms.
  • Show author(s) (2017). Asymptotic expansions of holonomy.
  • Show author(s) (2016). Horizontal holonomy and foliations.
  • Show author(s) (2015). Horizontal holonomy with applications.
  • Show author(s) (2014). Sub-Riemannian manifolds with a metric-preserving complement and their diffusions.
  • Show author(s) (2014). Optimal solutions to the rolling problem.
  • Show author(s) (2012). PDEs as geodesic equations in infinite dimensional sub-Riemannian geometry.
  • Show author(s) (2012). Infinite dimensional sub-Riemannian geometry.
  • Show author(s) (2011). Sub-Riemannian geometry of the group of diffeomorphisms of the circle.
  • Show author(s) (2011). Geometry and the problem of rolling manifolds.
  • Show author(s) (2011). Frame Bundles, Rolling and Geometry.
  • Show author(s) (2010). Sub-Riemannian geometry of the group of diffeomorphisms of the circle.
  • Show author(s) (2010). Intrinsic Rolling of Manifolds.
  • Show author(s) (2009). Sub-Riemannian and sub-Lorientzian geometry on SU(1,1).
  • Show author(s) (2009). Sub-Riemannian and sub-Lorientzian geometry on SU(1,1).
  • Show author(s) (2009). Sub-Riemannian and sub-Lorientzian geometry on SU(1,1).
  • Show author(s) (2008). Optimal control.
Doctoral dissertation
  • Show author(s) (2012). Nonholonomic geometry in finite and infinite dimensional Lie groups and rolling manifolds.
Academic chapter/article/Conference paper
  • 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.

More information in national current research information system (CRIStin)

I will soon be working as a researcher in the project GeoProCo: Geometry and Probability with Constraints.

For more details, see the website of the project

https://sites.google.com/view/codysmageoproco/geoproco

 

Fields of competence 
Analysis
Differential geometry
Partial differential equations (PDE)
Probability theory

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