Research

Published papers.

1. "Lie algebras associated with labeled directed graphs". Communications in Algebra 52 (2024), no. 7, 3115-3125. Mauricio Godoy Molina – Diego Lagos. DOI: 10.1080/00927872.2024.2315306. Preprint version.

2. "Riemannian and sub-Riemannian geodesics on nested principal bundles". Proceedings CONTROLO 2020 (2021). Springer. Mauricio Godoy Molina – Irina Markina. Preprint version.

3. "Submersions and curves of constant geodesic curvature." Mathematische Nachrichten 292 (2019), no. 9, 1956–1971. Mauricio Godoy Molina – Erlend Grong – Irina Markina. Preprint version.

4. "Lie algebras attached to Clifford modules and simple Lie algebras". Journal of Lie Theory 28 (2018), no. 3, 843–864. Kenro Furutani – Mauricio Godoy Molina – Irina Markina – Tohru Morimoto – Alexander Vasil'ev. Preprint version.

5. "Rigidity of 2-step Carnot groups". Journal of Geometric Analysis 28 (2018), No. 2, 1477–1501. Mauricio Godoy Molina – Boris Kruglikov – Irina Markina – Alexander Vasil'ev. Preprint version.

6. "Riemannian and Sub-Riemannian geodesic flows". Journal of Geometric Analysis 27 (2017), No. 2, pp. 1260–1273. Mauricio Godoy Molina – Erlend Grong. Preprint version.

7. "Rolling against a sphere: The non transitive case". Journal of Geometric Analysis 26 (2016), No. 4, pp. 2542–2562. Yacine Chitour – Mauricio Godoy Molina – Petri Kokkonen – Irina Markina. Preprint version.

8. "The sub-Riemannian cut locus of $H$-type groups". Mathematische Nachrichten 289 (2016), No. 1, pp. 4–12. Christian Autenried – Mauricio Godoy Molina. Preprint version.

9. "Symmetries of the rolling model". Mathematische Zeitschrift. 281 (2015), No. 3, pp. 783–805. Yacine Chitour – Mauricio Godoy Molina – Petri Kokkonen. Preprint version.

10. "On the Controllability of the Rolling Problem onto the Hyperbolic $n$-space". SIAM Journal on Control and Optimization. 53 (2015), No. 2, pp. 948–968. Yacine Chitour – Mauricio Godoy Molina – Petri Kokkonen. Preprint version.

11. "Sub-Riemannian geodesics in the octonionic $H$-type group". Analysis, Modelling, Optimization, and Numerical Techniques, 113–126, Springer Proceedings in Mathematics & Statistics. 2015. Christian Autenried – Mauricio Godoy Molina.

12. "The rolling problem: overview and challenges". Geometric Control and sub-Riemannian geometry, 103–122, Springer INdAM Ser., 5, Springer, Cham, 2014. Yacine Chitour – Mauricio Godoy Molina – Petri Kokkonen. Preprint version.

13. "Geometric conditions for the existence of a rolling without twisting or slipping". Commun. Pure Appl. Anal. 13 (2014), no. 1, 435–452. Mauricio Godoy Molina – Erlend Grong. Preprint version.

14. "Sub-semi-Riemannian geometry of general $H$-type groups". Bull. Sci. Math. 137 (2013), no. 6, 805–833. Mauricio Godoy Molina – Anna Korolko – Irina Markina. Preprint version.

15. "Parabolic and elliptic partial difference equations: towards a discrete solution of Navier-Stokes equation", Navier-Stokes Equations: Properties, Description and Applications (Book chapter). Rubén A. Hidalgo – Mauricio Godoy Molina. Preprint version.

16. "Sub-Riemannian geodesics and heat operator on odd dimensional spheres", Anal. Math. Phys. 2 (2012), No. 2, pp. 123–147. Mauricio Godoy Molina – Irina Markina. Preprint version.

17. "An intrinsic formulation to the rolling manifolds problem", J. Dyn. Control Syst. 18 (2012), No. 2, pp. 181–214 Mauricio Godoy Molina – Erlend Grong – Irina Markina – Fátima Silva Leite. Preprint version.

18. "Rolling manifolds: An intrinsic perspective", Textos de Matemática 43 "Mathematical Papers in Honour of Fátima Silva Leite", (Book chapter). Mauricio Godoy Molina – Erlend Grong – Irina Markina – Fátima Silva Leite. Preprint version.

19. "On geometrical properties of a hyperbolic octahedron having $mmm$-symmetry", Kemerovo State University Vestnik (2011), Vol. 3/2 (47), pp. 9–14 (in Russian). Galya A. Baygonakova – Mauricio Godoy Molina – Alexander D. Mednykh.

20. "Sub-Riemannian geometry of parallelizable spheres", Rev. Mat. Iberoam. 27 (2011), No. 3, 997–1022. Mauricio Godoy Molina – Irina Markina. Preprint version.

21. "Navier-Stokes equation on weighted graphs", Complex Anal. Oper. Theory, 4 (2010), No. 3, 525–540. Rubén A. Hidalgo – Mauricio Godoy Molina. Preprint version.

22. "On the volume of a spherical octahedron with symmetries", J. Math. Sci., 161 (2009), No. 1, 3–12. Nikolay V. Abrosimov – Mauricio Godoy Molina – Alexander D. Mednykh. Preprint version. Russian version appeared in Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 60, Algebra, 2008.

23. "Existence of solutions of semilinear systems in $l^2$", Proyecciones, 27 (2008), No. 2, 171–183. Rubén A. Hidalgo – Mauricio Godoy Molina.

Submitted preprints.

1. "Tanaka rigidity of graph Lie algebras". Submitted. Mauricio Godoy Molina.

2. "|3|−Gradings of complex simple Lie algebras". Submitted. Mauricio Godoy Molina – Diego Lagos.

3. "Controllability of the rolling system of a Lorentzian manifold on ℝ^{n,1}". Submitted.  Abraham Bobadilla – Mauricio Godoy Molina.

4. "Left-invariant distributions and metric Hamiltonians on SL(n,ℝ) induced by its Killing form". Submitted.  Abraham Bobadilla – Mauricio Godoy Molina.

In conference proceedings.

1. "Intrinsic rolling of manifolds" (Peer reviewed), Proceedings Conference Controlo 2010, Coimbra, Portugal, Special Session on Geometric Control Theory. Mauricio Godoy Molina – Erlend Grong – Irina Markina – Fátima Silva Leite.

2. "Volúmenes Esféricos del Octaedro y Hexaedro Simétricos" (Spherical volume of the symmetric octahedron and hexahedron, in Spanish), Proceedings XVI Congreso de Matemáticas Capricornio, COMCA 2006, La Serena, Chile, Session: Algebra and Geometry. Alexander Mednykh – Mauricio Godoy.

3. "On Symmetric Octahedron and Hexahedron in Spherical Space", Proceedings XX Jornadas de Matemática de la Zona Sur 2006, “Naturaleza y Matemática”, Puyehue, Chile, Special Session 1: Topology and Geometry. Alexander Mednykh – Mauricio Godoy.