1. Affine connections and curvature in sub-Riemannian geometry. (arXiv:2001.03817)
   Erlend Grong

2. Canonical connections on sub-Riemannian manifolds with constant symbol. (arXiv:2010.05366)
   Erlend Grong

3. Most probable paths for developed processes. (arXiv:2211.15168)
   Erlend Grong and Stefan Sommer

4. Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling (arXiv:2212.07715)
   Fabrice Baudoin, Erlend Grong, Robert Neel and Anton Thalmaier

5. Principal subbundles for dimension reduction (arXiv:2307.03128)
   Morten Akhøj, James Benn, Erlend Grong, Stefan Sommer, Xavier Pennec

6. Filtered complexes and cohomologically equivalent subcomplexes (arXiv:2308.11353)
   Erlend Grong and Francesca Tripaldi

7. Controllability of shapes through Landmark Manifolds (arXiv:2403.08090)
   Erlend Grong and Sylvie Vega-Molino

8. Score matching for sub-Riemannian bridge sampling (arXiv:2404.15258)
   Erlend Grong, Karen Habermann, Stefan Sommer

9. Boundary values of diffeomorphisms of simple polytopes, and controllability (arXiv:2407.05444)
   Helge Glöckner, Erlend Grong, Alexander Schmeding

10. SO(3)-Equivariant Neural Networks for Learning Vector Fields on Spheres (arXiv:2503.09456)
    Francesco Ballerin, Nello Blaser, Erlend Grong

11. Effective normalization of sub-Riemannian connections (arXiv:2508.00108)
    Erlend Grong, Jan Slovak

1. A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifolds (arXiv:2204.03451)
   J. Geom. Anal. 35, 243 (2025)
   Erlend Grong, Jorge Hidalgo and Sylvie Vega-Molino

2. Comparison theorems on H-type sub-Riemannian manifolds. (arXiv:1909.03532)
   Calc. Var. 64, 143 (2025)
   Fabrice Baudoin, Erlend Grong, Sylvie Vega-Molino and Luca Rizzi 

3. Geometry of the Visual Cortex with Applications to Image Inpainting and Enhancement (arXiv:2308.07652)
   Graphical Models 137, 2025, 101239
   Francesco Ballerin and Erlend Grong

4. Controllability and diffeomorphism groups on manifolds with boundary (arXiv:2403.12742)
   Forum Mathematicum, 2024. https://doi.org/10.1515/forum-2024-0160
   Erlend Grong and Alexander Schmeding

5. Most probable paths for anisotropic Brownian motions on manifolds (arXiv:2110.15634)
   Found. Comput. Math. 24 (2024), no. 1, 313–345
   Erlend Grong and Stefan Sommer

6. Most probable flows for Kunita SDEs. (arXiv:2209.03868)
   Appl Math Optim 89, 44 (2024)
   Erlend Grong and Stefan Sommer

7. Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion (arXiv:2305.02688)
   Journal of Lie Theory 34 (2024), No. 2, 339-352
   Erlend Grong, Hans Z. Munthe-Kaas and Jonatan Stava

8. Harmonic maps into sub-Riemannian Lie groups (arXiv:2305.06096)
   Communications in Analysis and Mechanics (2023), Volume 15, Issue 3: 515-532.
   Erlend Grong and Irina Markina

9. Curvature and the equivalence problem in sub-Riemannian geometry. (arXiv:2206.15123)
   Arch. Math. (Brno) 58 (2022), no.5, 295–327.
   Erlend Grong

10. H-type foliations. (arXiv:1812.02563)
    Differential Geom. Appl. 85 (2022), Paper No. 101952
    Fabrice Baudoin, Erlend Grong, Sylvie Vega-Molino and Luca Rizzi.

11. Geometric rough paths on infinite dimensional spaces. (arXiv:2006.06362)
    J. Differential Equations 340 (2022), 151–178.
    Erlend Grong, Torstein Nilssen, Alexander Schmeding

12. A horizontal Chern-Gauss-Bonnet formula on totally geodesic foliations (arXiv:2106.15558)
    Ann. Global Anal. Geom. 61 (2022), no. 4, 759–776.
    Fabrice Baudoin, Erlend Grong, Sylvie Vega-Molino

13. Functional inequalities on path space of sub-Riemannian manifolds and applications. (arXiv:1912.03575)
    Nonlinear Anal. 210 (2021), Paper No. 112387, 30 pp.
    Li-Juan Cheng, Erlend Grong and Anton Thalmaier 

14. Model spaces in sub-Riemannian geometry. (arXiv:1610.07359)
    Comm. Anal. Geom. 29 (2021), no. 1.
    Erlend Grong

15. On G2 and Sub-Riemannian Model Spaces of Step and Rank Three. (arXiv:1901.0666)
    Math. Z. 298 (2021), no. 3-4, 1853–1885.
    Erik Berge and  Erlend Grong

16. Radial processes for sub-Riemannian Brownian motions and applications. (arXiv:2002.02556)
    Electronic Journal of Probability 2020, Vol. 25, paper no. 97, 1-17.
    Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada, Robert Neel, Anton Thalmaier

17. Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations. (arXiv:1711.08382)
    Ann. Global Anal. Geom. 56 (2019), no. 2, 403 - 428.
    Fabrice Baudoin and Erlend Grong, 

18. Horizontal holonomy and foliated manifolds. (arXiv:1511.05830)
    Ann. Inst. Fourier (Grenoble) 69 (2019), no. 3, 1047–1086.
    Yacine Chitour, Erlend Grong, Frédéric Jean and Petri Kokkonen

19. Submersions and curves of constant geodesic curvature. (arXiv:1707.05155)
    Mathematische Nachrichten. 2019 ; 292 : 1956–1971.
    Mauricio Godoy Molina, Erlend Grong and Irina Markina 

20. Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations. (arXiv:1706.08489)
    Calc. Var. Partial Differential Equations 58 (2019), no. 4, Art. 130, 38 pp.
    Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada and Anton Thalmaier

21. A Lichnerowicz estimate for the spectral gap of the sub-Laplacian. (arXiv:1708.05835)
    Proc. Amer. Math. Soc. 147 (2019), no. 12, 5153–5166.
    Stine Marie Berge and Erlend Grong 

22. Stochastic completeness and gradient representations for sub-Riemannian manifolds. (arXiv:1605.00785)
    Potential Anal. 51 (2019), no. 2, 219 - 254.
    Erlend Grong and Anton Thalmaier, 34 pages.

23. Asymptotic expansions of holonomy. (arXiv:1701.02570)
    Forum Math. 30 (2018), no. 6, 1363 -1385.
    Erlend Grong and Pierre Pansu

24. Riemannian and Sub-Riemannian geodesic flows. (arXiv:1502.06018)
    J. Geom. Anal. 27 (2017), no. 2, 1260 - 1273.
    Mauricio Godoy Molina and Erlend Grong

25. Submersions, Hamiltonian systems and optimal solutions to the rolling manifolds problem. (arXiv:1212.3651)
    SIAM J. Control Optim. vol 54 (2016), no. 2, 536 - 566.
    Erlend Grong

26. Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part I. (arXiv:1408.6873)
    Math Z., vol. 282 (2016), no. 1, 99 - 130.
    Erlend Grong and Anton Thalmaier 

27. Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations, Part II. (arXiv:1408.6872)
    Math Z., vol. 282 (2016), no. 1, 131 - 164.
    Erlend Grong and Anton Thalmaier

28. Sub-Riemannian geometry on infinite-dimensional manifolds. (arXiv:1201.2251)
    J. Geom. Anal., vol. 25 (2015), no. 4, 2474 - 2515.
    Erlend Grong, Irina Markina and Alexander Vasil’ev

29. Geometric conditions for the existence of a rolling without twisting or slipping. (arXiv:1111.0752)
    Commun. Pure Appl. Anal. vol. 13 (2014), no. 1, 435 - 452.
    Mauricio Godoy Molina and Erlend Grong 

30.  Controllability of rolling without twisting or slipping in higher dimensions. (arXiv:1103.5258)
    SIAM J. Control Optim. vol. 50 (2012), no. 4, 2462 - 2485.
    Erlend Grong

31. An intrinsic formulation to the rolling manifolds problem.
    J. Dyn. Control Syst. vol. 18 (2012), no. 2, 181 - 214.
    Mauricio Godoy Molina, Erlend Grong, Irina Markina and Fátima Silva Leite
    (arXiv:1008.1856)

32. Sub-Riemannian and sub-Lorentzian geometry of SU(1, 1) and its universal cover. (arXiv:0910.0945)
    J. Geom. Mech. vol. 3 (2011), no. 2, 225 - 260.
    Erlend Grong and Alexander Vasil’ev

33. Matching univalent functions and conformal welding. (arXiv:0806.0930)
    Ann. Acad. Sci. Fenn. Math. vol. 34 (2009), no. 1, 303 - 314.
    Erlend Grong, Pavel Gumenyuk and Alexander Vasil’ev

Conference proceedings 

1. Intrinsic rolling of manifolds. (Peer reviewed) Proceedings Conference Controlo 2010. Mauricio Godoy Molina, Erlend Grong, Irina Markina and Fátima Silva Leite.

2. Rolling manifolds: An intrinsic perspective. Mathematical papers in honour of Fátima Silva Leite, 71 - 83, Textos Mat. Sér. B, 43, Univ. Coimbra, Coimbra, 2011. Mauricio Godoy Molina, Erlend Grong, Fátima Silva Leite and Irina Markina.

3. Sub-Riemannian structures corresponding to Kählerian metrics on the universal Teichmüller space and curve. (Peer reviewed) 60 Years of Analytic Functions in Lublin, Proceedings of the Conference in memory of J.G. Krzyż, Z. Lewandowski and W. Szapiel, Innovatio Press, Lublin, 2012, pp 97 - 116. Erlend Grong, Irina Markina and Alexander Vasil’ev (arXiv:1202.6135).

Non-scientific publications

1. Dedication to Alexander Vasil'ev (1962–2016). Anal. Math. Phys. 8 (2018), no. 4, 485 - 491. Mauricio Godoy Molina, Erlend Grong and Pavel Gumenyuk.