Research Papers
25. Lagrangian surfaces of constant angle in the complex Euclidean plane,
Bol. Soc. Mat. Mex. (3) 28 (2022).
24. Semi Riemannian hypersurfaces with a canonical principal direction,
Bol. Soc. Mat. Mex. (3) 27 (2021).
23. Translation hypersurfaces whose curvature depends partially on its variables.
J. Math. Anal. Appl. 497 (2021).
22. Surfaces with a canonical principal direction and prescribed mean
curvature",
Annali di Matematica Pura ed Applicata 198 (2019) 1471-1479.
21. A characterization of isoparametric surfaces in space forms via minimal surfaces,
Bull. Braz. Math.Soc. 49 (2018) 447-462.
20. Timelike surfaces in Minkowski space with a canonical null direction,
Journal of Geometry (2018) 109: 35.
19. CMC hypersurfaces with canonical principal direction in space forms,
Math. Nachr. 290 (2017) 248-261
18. Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms,
Diff. Geom. and its App. 49 (2016) 473-495 (Elsevier)
17. Minimal translation hypersurfaces in Euclidean space, with M. I. Munteanu and O. Palmas.
Mediterr. J. Math. 13 (2016) 2659-2676 (Springer)
16. Minimal helix submanifolds and minimal riemannian foliations, with A. Di Scala.
Bol. Soc. Mat. Mex. 22 (2016) 229-250.
15. Helix surfaces in Euclidean spaces, with C. Barrera-Cadena and A. Di Scala.
Beitrage zur Algebra und Geometrie 56 (2015) 551-573.
14. Isometry actions and geodesics orthogonal to submanifolds, with A. Di Scala, S. Mendonca, H. Mirandola.
Bull. Braz. Math. Soc. 46 (2015) 105-138.
13. A characterization of isoparametric surfaces in R3 via normal surfaces, with R. Lopez.
Results. Math. 67 (2015) 87-94.
12. The equal tangents property, with J. Jeronimo-Castro and S. Tabachnikov.
Adv. Geom. 14 (2014) 447-453.
11. Surfaces in R4 with constant principal angles with respect to a plane,
with P. Bayard, A. Di Scala and O. Osuna.
Geom. Dedicata 162 (2013) 153-176.
10. Spacelike hypersurfaces with a canonical principal direction,
with O. Palmas.
Berichte aus der Mathematik,(2013) 253-260. In memory of Franki Dillen (PADGE 2012).
9. Cassification of constant angle hypersurfaces in warped products via eikonal functions,
with E. Garnica and O. Palmas.
Bol. Soc. Mat. Mexicana 18 (2012) 29-42.
8. Hypersurfaces with a canonical principal direction, with E. Garnica and O. Palmas.
Diff. Geom. and its App. 30 (2012) 382-391.
7. A compact minimal shadow boundary in Euclidean space is totally geodesic,
with Antonio Di Scala and Jesus Jeronimo.
Monatsh. Math. Volume 168, Number 2 (2012), 183-189
6. Shadow boundaries in space forms, with O. Palmas.
Matematica Contemporanea (SBM) Volume 40 (2011), 261-269.
5. Minimal helix surfaces in N^n x R.
Abh. Math. Semin. Univ. Hambg. 81 (2011) 55-67.
4. Higher codimensional Euclidean helix submanifolds, with Antonio Di Scala.
Kodai Math. J. 33 (2010) 192-210.
3. Helix submanifolds of euclidean spaces, with Antonio Di Scala.
Monatsh. Math. 157 (2009) 205-215.
2. Helix, shadow boundary and minimal submanifolds.
Illinois Journal of Math. 52 (2008) 1385-1397.
1.Totally geodesic shadow boundary submanifolds and a characterization for S^n.
Arch. Math. 90 (2008) 374-384.
Preprints
Other Publications
Lecture Notes: Introduction to Geometric Analysis,
Lecture Notes: Surfaces in Minkowski space,
Subvariedades Helice, Frontera de Sombra y Totalmente Geodesicas,
(PhD Thesis) CIMAT 2006, Clasificacion TE 213.
Operadores Lineales Compactos en Espacios Vectoriales Topologicos,
(Tesina) CIMAT 2004, Clasificacion TE 156.
Divulgation
Una topologia conexa en los numeros naturales (1997)
Eureka: Revista de la Lic. Matematicas Aplicadas, UAQ.
Thesis by my students
Sergio Rios Albarran: "Hipersuperficies biarmonicas en R4" (2016)
Rodrigo Aguilar Suarez: "CR-Subvariedades de la seis esfera" (2016)
Adrian Garcia Dinorin: "Semi-Riemannian hipersuperficies con direccion principal canonica" (2016)
Cinthia Barrera Cadena: "Superficies con angulo constante y curvatura media constante" (2013)
Daniel Ballesteros Chavez: "Inmersiones minimas de variedades Einstein-Kahler" (2013)