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