Publicaciones / Publications


C. Olmos, M. Salvai, Holonomy of homogeneous vector bundles and polar representations
Indiana University Mathematics Journal 44 (1995), 1007-1015. link to the journal (open access)


M. Salvai, Spectra of unit tangent bundles of compact hyperbolic Riemann surfaces pdf
Annals of Global Analysis and Geometry 16 (1998), 357-370. link to the journal


M. Salvai, Density of periodic geodesics in the unit tangent bundle of a compact hyperbolic surface. pdf
Revista de la Unión Matemática Argentina 41 (1999), 99-105. link to the journal


M. Salvai, On the geometry at infinity of the universal covering of Sl(2,R) pdf
Rendiconti del Seminario Matematico dell'Università di Padova 104 (2000) 91-108. link to the journal


M. Salvai, On the dynamics of a rigid body in the hyperbolic space pdf
Journal of Geometry and Physics 36 (2000) 126-139. link to the journal


M. Carreras, M. Salvai, Closed geodesics in the tangent sphere bundle of a hyperbolic manifold pdf
Tohoku Mathematical Journal 53 No. 1 (2001) 149-161. link to the journal


M. Salvai, Affine maximal tori intersecting a fixed one pdf
Contemporary Mathematics 288, Global Differential Geometry: The Mathematical Legacy of Alfred Gray. Editores: M. Fernández y J. Wolf (2001) 425-427.


M. Salvai, A double point calibration on an Sp(1) bundle over the three-sphere pdf
Journal of Differential Geometry 59 (2001) 523-533. link to the journal (open access)


M. Salvai, On the Laplace and complex length spectra of locally symmetric spaces of negative curvature pdf
Mathematische Nachrichten 239-240 (1) (2002) 198-203. link to the journal
Erratum: pdf


M. Salvai, Force free conformal motions of the sphere pdf
Differential Geometry and its Applications 16 (3) (2002) 285-292. link to the journal


M. Salvai, Affine maximal torus fibrations of a compact Lie group pdf
International Journal of Mathematics 13 (3) (2002) 217-226. link to the journal


M. Salvai, On the volume and energy on sections of a circle bundle over a compact Lie group pdf
Differential Geometry, Valencia 2001, World Scientific. Editores: O. Gil-Medrano y V. Miquel (2002) 262-267. link to the journal


M. Salvai, On the energy of sections of parallelizable sphere bundles pdf
Rendiconti del Seminario Matematico dell'Università e Politecnico di Torino 60 (3) (2002) 147-155. link to the journal (open access)


M. Salvai, On the volume of unit vector fields on a compact Lie group pdf
Journal of Lie Theory 13 (2) (2003) 457-464. link to the journal


F. Brito, M. Salvai, Solenoidal unit vector fields with minimum energy pdf
Osaka Journal of Mathematics 41 (3) (2004) 533-544. link to the journal (open access)


M. Salvai, A dynamical approach to compactify the three-dimensional Lorentz group pdf
Journal of Lie Theory 15 (1) (2005) 335-339. link to the journal


M. Salvai, On the geometry of the space of oriented lines in Euclidean space pdf
Manuscripta Mathematica 118 (2) (2005) 181-189. link to the journal
Erratum: pdf


M. Salvai, Some geometric characterizations of the Hopf fibration of the three-sphere pdf
Monatshefte für Mathematik 147 (2006) 173-177. link to the journal


M. Salvai, Geodesics of the space of oriented lines of Euclidean space pdf
Proceedings of Egeo 2005, Revista de la Unión Matemática Argentina 47 (2) (2006) 109-114. link to the journal


M. Salvai, Another motivation for the hyperbolic plane: Segments moving on the line pdf  (pdf version here without pictures)
Mathematical Intelligencer 29 (2007) 6-7. link to the journal


M. Salvai, On the geometry of the space of oriented lines of the hyperbolic space pdf
Glasgow Mathematical Journal 49 (2007) 357-366. link to the journal


Gil Bor, Luis Hernández Lamoneda, Marcos Salvai, Orthogonal almost-complex structures of minimal energy link to arXiv
Geometriae Dedicata 127 (1) (2007) 75-85. link to the journal


M. Marcela Lazarte, Marcos Salvai, Adrián Will, Force free projective motions of the sphere pdf
Journal of Geometry and Physics 57 (2007) 2431-2436. link to the journal


J. C. González Dávila, F. Martín Cabrera, M. Salvai, Harmonicity of sections of sphere bundles link to arXiv
Mathematische Zeitschrift 261 (2009) 409-430. link to the journal


Marcos Salvai, Global smooth fibrations of R^3 by oriented lines pdf
Bulletin of the London Mathematical Society 41 (2009) 155-163. link to the journal


M. Salvai, Geodesic paths of circles in the plane pdf
Revista Matemática Complutense 24 (2011) 211-218. link to the journal


D. Emmanuele, M. Salvai, Force free Moebius motions of the circle pdf
Journal of Geometry and Symmetry in Physics 27 (2012) 59-65. link to the journal


Y. Godoy, M. Salvai, The magnetic flow of the manifold of oriented geodesics of a three dimensional space form pdf
Osaka Journal of Mathematics 50 (2013) 749-763. link to the journal (open access)


Y. Godoy, M. Salvai, The canonical contact structure on the space of oriented null geodesics of pseudo-spheres and products pdf
Advances in Geometry 13 (2013) 713-722. link to the journal


M. Salvai, Some totally geodesic submanifolds of the nonlinear Grassmannian of a compact symmetric space pdf
Monatshefte für Mathematik 175 (2014) 613-619. link to the journal


M. Salvai, Generalized geometric structures on complex and symplectic manifolds pdf
Annali di Matematica Pura ed Applicata 194 (2015) 1505-1525. link to the journal


Y. Godoy, M. Salvai, Global smooth geodesic foliations of the hyperbolic space link to arXiv
Mathematische Zeitschrift 281 (2015) 43-54. link to the journal


Y. Godoy, M. Salvai, Calibrated geodesic foliations of hyperbolic space link to arXiv
Proceedings of the American Mathematical Society 144 (2016) 359-367. link to the journal


E.A. Fernández-Culma, Y. Godoy, M. Salvai, Interpolation of geometric structures compatible with a pseudo Riemannian metric link to arXiv
Manuscripta Mathematica 151 (2016) 453-468. link to the journal


M. Salvai, Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses pdf
Kodai Mathematical Journal 40 (2017) 21-30. link to the journal


Y. Godoy, M. Salvai, Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport link to arXiv
Israel Journal of Mathematics 225 (2018) 465-478. link to the journal


E.A. Fernández-Culma, Y. Godoy, M. Salvai, Generalized complex and paracomplex structures on product manifolds pdf
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (RACSAM) 114, article number 154 (2020). link to the journal


M. Salvai, Circles in self dual symmetric R-spaces. link to arXiv
Tohoku Mathematical Journal (2) 73 (2021) 257-275. link to the journal


M. Anarella, M. Salvai, Infinitesimally helicoidal motions with fixed pitch of oriented geodesics of a space form pdf
Acta Applicandae Mathematicae 179, artículo no 6, 19 págs. (2022). link to the journal


D. Emmanuele, M. Salvai, F. Vittone, Möbius fluid dynamics on the unitary groups. link to arXiv
Regular and Chaotic Dynamics 27 (2022) 333-351. link to the journal


F. Ferraris, R.P. Moas, M. Salvai, Harmonic unit normal sections of Grassmannians associated with cross products link to arXiv
Revista Matemática Complutense 36 (2023) 443–468. link to the journal


Y. Godoy, M. Harrison, M. Salvai, Tangent ray foliations and their associated outer billiards link to arXiv
Revista Matemática Iberoamericana 39 (2023), no. 6, 2349–2369. link to the journal


E. Hulett, R.P. Moas, M. Salvai, The sub-Riemannian geometry of screw motions with constant pitch link to arXiv
Journal of Geometric Analysis 33, 373 (2023). link to the journal


M. Salvai, The sub-Riemannian length spectrum for screw motions of constant pitch on flat and hyperbolic 3-manifolds link to arXiv
Geometriae Dedicata 218, 48 (2024). link to the journal


M. Salvai, A split special Lagrangian calibration associated with frame vorticity, aceptado para su publicación en Advances in Calculus of Variations. link to arXiv


Y. Godoy, M. Harrison, M. Salvai, Outer billiards on the manifolds of oriented geodesics of the three dimensional space forms, aceptado para su publicación en Journal of the London Mathematical Society. link to arXiv