Research groups
Publications
Academic book chapter
- Mauricio Godoy Molina; Erlend Grong; Fátima Silva Leite et al. (2011). Rolling manifolds : an intrinsic perspective. (external link)
- Erlend Grong; Irina Markina; Alexander Vasiliev (2012). Sub-Riermannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. (external link)
Conference lecture
- Erlend Grong (2019). Asymptotic expansions of holonomy. (external link)
- Erlend Grong (2011). Frame Bundles, Rolling and Geometry.. (external link)
- Erlend Grong (2019). Hamiltonians and Geometry. (external link)
- Erlend Grong (2011). Sub-Riemannian geometry of the group of diffeomorphisms of the circle.. (external link)
- Erlend Grong (2014). Optimal solutions to the rolling problem. (external link)
- Erlend Grong (2021). Geometric rough paths on Hilbert spaces.. (external link)
- Erlend Grong (2015). Horizontal holonomy with applications. (external link)
- Erlend Grong (2016). Horizontal holonomy and foliations. (external link)
- Erlend Grong (2018). Comparison theorems for the sub-Laplacians.. (external link)
- Erlend Grong (2017). Rumin complexes and the Laplacian on forms. (external link)
- Erlend Grong (2009). Sub-Riemannian and sub-Lorientzian geometry on SU(1,1). (external link)
- Erlend Grong (2020). Geometric rough paths on Hilbert spaces.. (external link)
- Erlend Grong (2009). Sub-Riemannian and sub-Lorientzian geometry on SU(1,1). (external link)
- Erlend Grong (2018). Sub-Laplacians on forms and cohomology. (external link)
- Erlend Grong (2017). Sub-Laplacians and the curvature dimension inequality. (external link)
- Erlend Grong (2010). Sub-Riemannian geometry of the group of diffeomorphisms of the circle. (external link)
- Erlend Grong (2012). Infinite dimensional sub-Riemannian geometry. (external link)
- Erlend Grong (2012). PDEs as geodesic equations in infinite dimensional sub-Riemannian geometry. (external link)
- Erlend Grong (2014). Sub-Riemannian manifolds with a metric-preserving complement and their diffusions. (external link)
- Erlend Grong (2008). Optimal control. (external link)
- Erlend Grong (2017). Asymptotic expansions of holonomy. (external link)
- Erlend Grong (2011). Geometry and the problem of rolling manifolds. (external link)
- Erlend Grong; Mauricio Godoy Molina (2010). Intrinsic Rolling of Manifolds. (external link)
- Erlend Grong (2021). Path space on sub-Riemannian manifolds.. (external link)
- Erlend Grong (2021). Geometric rough paths on Hilbert spaces. (external link)
- Erlend Grong (2019). Curvature of sub-Riemannian manifolds.. (external link)
- Erlend Grong (2009). Sub-Riemannian and sub-Lorientzian geometry on SU(1,1). (external link)
Doctoral thesis (PhD)
Academic article
- Fabrice Baudoin; Erlend Grong; Gianmarco Vega-Molino (2022). A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations. (external link)
- Erlend Grong; Anton Thalmaier (2018). Stochastic Completeness and Gradient Representations for Sub-Riemannian Manifolds. (external link)
- Erlend Grong; Sylvie Vega-Molino (2026). Controllability on landmark manifolds for shapes and neural ODEs. (external link)
- Erlend Grong; Jorge Hidalgo; Sylvie Vega-Molino (2025). A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds. (external link)
- Eirik Berge; Erlend Grong (2021). On G2 and sub-Riemannian model spaces of step and rank three. (external link)
- Mauricio Godoy Molina; Erlend Grong (2017). Riemannian and sub-Riemannian geodesic flows.. (external link)
- Mauricio Godoy Molina; Erlend Grong (2014). Geometric conditions for the existence of a rolling without twisting or slipping.. (external link)
- Erlend Grong; Irina Markina; Alexander Vasiliev (2015). Sub-Riemannian Geometry on Infinite-Dimensional Manifolds. (external link)
- Erlend Grong; Stefan Sommer (2022). Most Probable Paths for Anisotropic Brownian Motions on Manifolds. (external link)
- Erlend Grong; Pavel Gumenyuk; Alexander Vasiliev (2009). Matching univalent functions and conformal welding. (external link)
- Yacine Chitour; Erlend Grong; Frederic Jean et al. (2019). Horizontal holonomy and foliated manifolds. (external link)
- Erlend Grong; Pierre Pansu (2018). Asymptotic expansion of holonomy.. (external link)
- Erlend Grong; Irina Markina (2023). Harmonic maps into sub-Riemannian Lie groups. (external link)
- Stine Marie Berge; Erlend Grong (2019). A Lichnerowicz estimate for the spectral gap of a sub-Laplacian. (external link)
- Fabrice Baudoin; Erlend Grong; Luca Rizzi et al. (2022). H-type foliations. (external link)
- Fabrice Baudoin; Erlend Grong; Kazumasa Kuwada et al. (2019). Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. (external link)
- Fabrice Baudoin; Erlend Grong; Luca Rizzi et al. (2025). Comparison theorems on H-type sub-Riemannian manifolds. (external link)
- Erlend Grong; Alexander Schmeding (2024). Controllability and diffeomorphism groups on manifolds with boundary. (external link)
- Erlend Grong (2022). Curvature and the equivalence problem in sub-Riemannian geometry. (external link)
- Erlend Grong (2016). Submersions, Hamiltonian systems, and optimal solutions to the rolling manifolds problem.. (external link)
- Erlend Grong; Anton Thalmaier (2016). Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part II.. (external link)
- Erlend Grong; Stefan Sommer (2024). Most Probable Flows for Kunita SDEs. (external link)
- Erlend Grong; Torstein Nilssen; Alexander Schmeding (2022). Geometric rough paths on infinite dimensional spaces. (external link)
- Francesco Ballerin; Erlend Grong (2025). Geometry of the visual cortex with applications to image inpainting and enhancement. (external link)
- Mauricio Godoy Molina; Erlend Grong; Irina Markina (2019). Submersions and curves of constant geodesic curvature. (external link)
- Erlend Grong; Anton Thalmaier (2016). Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part I.. (external link)
- Erlend Grong; Alexander Vasiliev (2011). Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. (external link)
- Erlend Grong (2012). Controllability of rolling without twisting or slipping in higher dimensions. (external link)
- Erlend Grong (2021). Model spaces in sub-Riemannian geometry. (external link)
- Erlend Grong; Hans Zanna Munthe-Kaas; Jonatan Stava (2024). Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion. (external link)
- Fabrice Baudoin; Erlend Grong (2019). Transverse Weitzenbock formulas and de Rham cohomology of totally geodesic foliations. (external link)
- Fabrice Baudoin; Erlend Grong; Kazumasa Kuwada et al. (2020). Radial processes for sub-Riemannian Brownian motions and applications. (external link)
- Mauricio Godoy Molina; Erlend Grong; Irina Markina et al. (2012). An intrinsic formulation of the problem on rolling manifolds. (external link)
- Li-Juan Cheng; Erlend Grong; Anton Thalmaier (2021). Functional inequalities on path space of sub-Riemannian manifolds and applications. (external link)
Projects
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