PublicacionesPublications

Diego Artacho, Marie-Amélie Lawn, M. Ortega, Translating Solitons in Generalised Robertson-Walker Geometries, https://arxiv.org/abs/2211.14529

Miguel Ortega, Handan Yıldırım, Rotationally invariant translators of the mean curvature Flow in Einstein’s static universe, Diff. Geom. Appl. 95 (2024) 102153 DigiBug (open access)

Miguel Ortega, Buse Yalçın, Translators of the Mean Curvature Flow in Hyperbolic Einstein’s Static Universe, Int. Electron. J. Geom. 17, Issue 1, pp157--170 (2024). https://dergipark.org.tr/en/pub/iejg/issue/84071/1437356 (open access)

Jong Taek Cho, Makoto Kimura, M. Ortega, A twistor construction of Hopf real hypersurfaces in complex hyperbolic space, J. Math. Soc. Japan Vol. 75, No. 3 (2023) pp. 1025–1053
http://arxiv.org/abs/2206.12334

Marilena Moruz, M.Ortega, Juan de Dios Pérez, Ruled Real Hypersurfaces in the Indefinite Complex Projective Space. Results Math 77, paper 147 (2022). (Read here)
https://arxiv.org/abs/2102.10641

Marie-Amélie Lawn, M.Ortega, Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions. Mediter. J. Math. 19, No 3 (2022), paper 102.
(Open access) Digibug

Trabajo fin de Grado de Elora Prados Raya, julio 2021.

Erdem Koçakusaklı, M.Ortega, A Zoo of Translating Solitons on a Parallel Light-like Direction in Minkowski 3-Space Diff. Geom. Appl. 78(2021), 101796.
https://arxiv.org/abs/2004.04974

Cristina Draper, M.Ortega, Francisco J. Palomo, Affine Connections on 3-Sasakian Homogeneous Manifolds, Math. Z. (2020) 294: 817.
Draper, C., Ortega, M., Palomo, F.J. Correction to: Affine connections on 3-Sasakian homogeneous manifolds. Math. Z. 294, 869 (2020).

https://arxiv.org/abs/1801.10526. Also at ResearchGate.

Marie-Amélie Lawn, M.Ortega, Associated Families of Surfaces in Warped Products and Homogeneous Spaces, Bull. Belg. Math. Soc. Simon Stevin 26 (2019), 321--339
Project Euclid; http://arxiv.org/abs/1504.00589

Makoto Kimura, M.Ortega, Hopf Real Hypersurfaces in Indefinite Complex Projective Space, Mediterr. J. Math. (2019) 16: 27.
https://arxiv.org/abs/1802.05556

Erdem Koçakusaklı, M.Ortega, Notes on Translating Solitons in Semi-Riemannian Manifolds,pp 61-70, Differential Geometry in Lorentz-Minkowski space, Proceedings of the Yound Researcher Workshop on Differential Geometry in Minkowski Space, Granada (Spain) April 17-20, 2017. MR3790900 Digibug

Erdem Koçakusaklı, M.Ortega, Extending Translating Solitons in Semi-Riemannian Manifolds, Lorentzian Geometry and Related Topics, Springer Proceedings in Mathematics & Statistics 211. Also at ArXiv:1706.05986, and ResearchGate

Marie-Amélie Lawn, M.Ortega, A Fundamental Theorem for Hypersurfaces in Semi-Riemannian Warped Products, J. Geom. Phys. 90 (2015), 55–70. doi:10.1016/j.geomphys.2015.01.002 MR3317697

M.Angustias Cañadas-Pinedo, Manuel Gutiérrez, M.Ortega, Massless particles in generalized Robertson–Walker 4-spacetimes, Annali di Matematica Pura ed Applicata, 194(2015), pp 259-273, DOI 10.1007/s10231-013-0374-2 MR3303015

M.Ortega, Francisco J. Palomo, Alfonso Romero, Componentwise Conformal Vector Fields on Riemannian Almost Product Manifolds, Balkan J. Geom. Appl. 19 (2014), no. 1, 88–99. MR3223312

M.Ortega, Evaluación por competencias en «Álgebra Lineal y Geometría» de primer curso del Grado en Física (PID 11-20), pp 1213--1225, en Innovación Docente y Buenas Prácticas en la Universidad de Granada, Vol 2, Ed. Universidad de Granada, Granada 2013, ISBN: 978-84-338-5576-3 (Volumen 2).

M.Ortega, Miguel Sánchez, Alfonso Romero, Recent trends in Lorentzian geometry, Springer Proceedings in Mathematics & Statistics 26 (2013), DOI 10.1007/978-1-4614-4897-6. MR3075017

M.Ortega, Juan de Dios Pérez, Young Jin Suh, Apuntes sobre la producción científica de Florentino, in Florentino García Santos: in memoriam. pp 129-144. 2011, Editorial Universidad de Granada, Granada, ISBN: 978-84-338-5347-9. MR2953857

Manuel Barros, M.Ortega, Juan de Dios Pérez, Alfonso Romero, Ceferino Ruiz, Miguel Sánchez, Florentino García Santos: in memoriam, 2011, Editorial Universidad de Granada, Granada, ISBN: 978-84-338-5347-9. MR2961338

M.Ortega, New examples of marginally trapped surfaces and tubes in warped spacetimes, 2011 J. Phys.: Conf. Ser. 314, 012093

M.Ortega, Alfonso Romero and Francisco J. Palomo, Certain Conformal-like Infinitesimal Symmetries and the Curvature of a Compact Riemannian Manifold, Bull. Belgian Math. Soc. Vol 18, n.2 (2011), 223-229. MR2847758 (2012f:53052)

José Luis Flores, Stefan Haesen, M.Ortega, New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes, Clas. Quantum Grav. 27 (2010) 145021 (18pp). MR2654079 (2011f:53168)

Manuel Barros, Magdalena Caballero, M.Ortega, Rotational Surfaces in L3 and Solitons in the Non-Linear Sigma Model, Comm. Math. Phys. 290(2009), 437-477 http://arxiv.org/pdf/0705.2206. MR2525627 (2010e:53019)

Stefan Haesen, M.Ortega, Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group, Gen. Rel. Grav 41(2009), 1819-1834. MR2533562 (2010k:83092)

Stefan Haesen, M.Ortega, Screw Invariant Marginally Trapped Surfaces in Minkowski 4-space, J. Math. Anal. Appl. 355(2009), 639-648, doi:10.1016/j.jmaa.2009.02.019. MR2521740 (2010f:53086)

Stefan Haesen, M.Ortega, Boost invariant marginally trapped surfaces in Minkowski space, Class. Quant. Grav 24(2007), 5441-5452. MR2365135 (2008m:83095)

José Luis Cabrerizo, Manuel Fernández, M.Ortega, Massless particles in 3-dimensional Lorentzian warped products, J. Mathematical Physics Vol 48, 012901(2007). MR2292611 (2008j:53129)

M.Ortega, Juan de Dios Pérez and F.G.Santos, Non-existence of real hypersurfaces parallel structure Jacobi operator in nonflat complex space forms, Rocky J. Math. Vol 36, No 5(2006), 1603-1613. MR2285303 (2007i:53058)

Manuel Barros, Magdalena Caballero, M.Ortega, Villarceau foliated solitons in the two-dimensional O(3) nonlinear sigma model, Journal of Geometry and Physics, Vol 57, Issue 1 (2006), 177-192. MR2265467 (2007j:58015)

Manuel Barros, Magdalena Caballero, M.Ortega, Massless particles in warped three spaces, Int. J. Mod. Phys. A. Vol. 21 (2006), p 461-473. MR2197347 (2006k:53117)

M.Ortega, Makoto Kimura, Congruence classes of Frenet curves in complex quadrics, J. Geom. 83(2005), 121-136. MR2193231 (2006g:53050)

M.Ortega, Guillermo Lobos, Pseudo-parallel real hypersurfaces in complex space forms, Bull. Korean Math. Soc. 41(2004), No. 4, 609-618. MR2103110 (2005g:53101)

M.Ortega, La red como material de apoyo en la enseñanza de las Matemáticas, La Gaceta de la Real Sociedad Matemática Española, 6, no 1 (2003), 231-242.

M.Ortega, Juan de Dios Pérez and Young Jin Suh, Real hypersurfaces in quaternionic projective spaces commuting tangent Jacobi operators, Glasgow Math. J. 45(2003), 79-89. MR1972696 (2004b:53098)

M.Ortega, Classifications of real hypersurfaces in complex space forms by means of curvature conditions, Bull. Belg. Math. Soc. (Simon Stevin) 9(2002), 351-360. MR2016574 (2004k:53083)

M.Ortega, Real hypersurfaces in quaternionic space forms satisfying axioms of planes, Acta Math Hungarica, 93(3)2001,225-242. MR1925232 (2003e:53073)

M.Ortega, Juan de Dios Pérez, Some Conditions on the Weingarten Endomorphism of Real Hypersurfaces in Quaternionic Space Forms, Tsukuba J. Math. 25, No. 2 (2001), 299-309. MR1869764 (2002j:53076)

M.Ortega, Axioms of Planes on Real Hypersurfaces in Complex Space Forms, J. Geometry 70 (2001), 139-150. MR1825553 (2002b:53091)

M.Ortega, Juan de Dios Pérez, On the Second Fundamental Form of Real Hypersurfaces in Quaternionic Hyperbolic Space, Rocky Mountain J. Math. 31, No. 3 (2001), 1063-1081. MR1877335 (2002j:53075)

M.Ortega, Juan de Dios Pérez, D-Einstein Real Hypersurfaces in Quaternionic Space Forms, Ann. Mat. Pura Appl. (IV), Vol. CLXXVII (2000), 33-44. MR1849377 (2002e:53088) https://doi.org/10.1007/BF02505886

M.Ortega, Juan de Dios Pérez and Young Jin Suh, Real Hypersurfaces With Constant Totally Real Sectional Curvature in a Complex Space Form, Czech. Math. J. 50(125) (2000), 531-537. MR1777474 (2001f:53117)

M.Ortega, Juan de Dios Pérez, Totally Real Sectional Curvature of a Real Hypersurface in Quaternionic Space Forms, Tsukuba J. Math. 22, No 1(1998), 227-233. MR1637700 (99e:53081)

M.Ortega, Juan de Dios Pérez, On the Ricci Tensor of a Real Hypersurface of Quaternionic Hyperbolic Space, Manuscripta Math. 93 (1997), 49-57. MR1446190 (98a:53084)

M.Ortega, Juan de Dios Pérez, Constant Holomorphic Sectional Curvature and Type Number of Real Hypersurfaces of Complex Hyperbolic Space, Proc. 4th International Congress of Geometry, Thessaloniki (1997), 327-335. MR1470995 (98j:53067)

M.Ortega, Juan de Dios Pérez and Young Jin Suh, Two Conditions on the Ricci Tensor of a Real Hypersurface in a Complex Projective Space, Nihonkai Math. J. 7(1996), No 2, 147-154. MR1420374