• A correspondence for isometric immersions into product spaces and its applications.

Preprint (with A. Jiménez and P. Mira).

• The Codazzi equation for surfaces.

Preprint (with J. A. Aledo and J. M. Espinar).

• Minimal Surfaces and Harmonic Diffeomorphisms from the Complex Plane onto a Hadamard Surface.

Preprint (with H. Rosenberg).

• The Liouville equation in a half-plane.

J. Diff. Equations. 246 (2009) 4173-4187. (With P. Mira).

To appear in Math. Z. (With P. Mira).

• A D'Alembert formula for flat surfaces in the 3-sphere.

J. Geom. Anal. 19 (2009) 211-232. (With J. A. Aledo and P. Mira).

• Hypersurfaces in Hⁿ⁺¹ and conformally invariant equations: The generalized Christoffel and Nirenberg problems.

J. Eur. Math. Soc. 11 (2009) 903-939. (With J.M. Espinar and P. Mira).

•  Complete surfaces with positive extrinsic curvature in product spaces.

Comment. Math. Helvetici 84 (2009) 351-386. (With J. M. Espinar and H. Rosenberg).

•  Height Estimates for Surfaces with Positive Constant Mean Curvature in M^2xR.

Illinois J. Math. 52 (2008) 203-211. (With J. A. Aledo and J. M. Espinar).

• The Bonnet problem for surfaces in homogeneous 3-manifolds.

Commun. Anal. Geom. 16 (2008) 907-935. (With A. Martínez and P. Mira).

•  Surfaces with constant curvature in S^2xR and H^2xR. Height estimates and representation.

Bull.  Braz. Math. Soc. 38 (2007) 533-554. (With J. A. Aledo and J. M. Espinar).

•  Complete surfaces of constant curvature in H^2xR and S^2xR.

Calc. Variations & PDEs 29 (2007) 347-363.  (With J. A. Aledo and J. M. Espinar).

•  The Cauchy Problem for Improper Affine Spheres and the Hessian One Equation.

Trans. Am. Math. Soc. 359 (2007) 4183-4208. (With J. A. Aledo and R. M. B. Chaves)

•  Isometric immersions of L^2 into L^4.

Diff. Geom. Appl. 24 (2006), 613-627. (With J. A. Aledo and P. Mira).

•  Timelike Surfaces in the Lorentz-Minkowski Space with Prescribed Gaussian Curvature and Gauss Map.

J. Geom. Phys. 56 (2006), 1357-1369. (With J. A. Aledo and J. M. Espinar).

•  Marginally trapped surfaces in L^4 and an extended Weierstrass-Bryant Representation.

Ann. Glob. Anal. Geom. 28 (2005), 395-415. (With J. A. Aledo and P. Mira).

•  The space of solutions to the Hessian one equation in the finitely punctures plane.

J. Math. Pure Appl. 84 (2005), no. 12, 1744-1757. (With A. Martínez and P. Mira).

•  Embedded isolated singularities of flat surfaces in hyperbolic 3-space.

Calc. Variations & PDEs. 24 (2005), no. 2, 239-260. (With P. Mira).

•  The Cauchy problem for the Liouville equation and Bryant surfaces.

Adv. Math. 195 (2005), no. 2, 456-490. (With P. Mira).

• Complete Surfaces in the Hyperbolic Space with a Constant Principal Curvature.

Math. Nachr. 278 (2005), no. 10, 1111-1116. (With J. A. Aledo).

• Dense solutions to the Cauchy problem for minimal surfaces.

Bull.  Braz. Math. Soc. 35 (2004), no. 3, 387-394. (With P. Mira).

• Some estimates for the Curvature of Complete Spacelike Hypersurfaces in Generalized Robertson-Walker  Spacetimes.

J. Geom. Phys. 52 (2004), no. 4, 469-479. (With J. A. Aledo and A. Romero).

• Complete Linear Weingarten Surfaces of Bryant Type. A Plateau Problem at Infinity.

Trans. Am. Math. Soc. 356 (2004), no. 9, 3405-3428. (With  A. Martínez and F. Milán).

• Complete Constant Gaussian Curvature Surfaces in the Minkowski Space and Harmonic Diffeomorphisms onto the Hyperbolic Plane.

Tohoku Math. J. 55 (2003), 467-476. (With A. Martínez and F. Milán).

• A Weierstrass Representation for Linear Weingarten Spacelike Surfaces of Maximal Type in the Lorentz-Minkowski Space.

J. Math. Anal. Appl. 283 (2003) 25-45. (With J. A. Aledo).

• On the Ricci Curvature of Compact Spacelike Hypersurfaces in Einstein Conformally Stationary-Closed Spacetimes.

Gen. Rel. Grav. 35 (2003), no. 4, 651-665. (With J. A. Aledo).

• Linear Weingarten Surfaces in R^3.

Monatsh. Math. 138 (2003), 133-144. (With A. Martínez and F. Milán).

• The Geometry of Convex Affine Maximal Graphs.

Math. Nachr. 232 (2001), 29-37. (With A. Martínez and  F. Milán).

• Flat Surfaces in L^4.

Ann. Glob. Anal. Geom. 20 (2001), no. 3, 243-251. (With A. Martínez and F. Milán).

• Estimates in Surfaces with Positive Constant Gauss Curvature.

P. Am. Math. Soc. 128 (2000), no. 12, 3655-3660. (With A. Martínez).

• The Gauss Map and Second Fundamental Form of Surfaces in R^3.

Geometriae Dedicata 81 (2000), no. 1-3, 181-192. (With A. Martínez).

• Flat Surfaces in the Hyperbolic 3-Space.

Math. Ann. 316 (2000), no. 3, 419-435. (With A. Martínez and F. Milán).

• The Lawson correspondence for Bryant surfaces in explicit coordinates. Mat. Contemp. 35, XV Escola de Geometria Diferencial, 61-72, Soc. Bras. Mat., Rio de Janeiro, 2008. (With P. Mira).  

• An Alternative Proof of the Bryant Representation. DGA 2004, Proceedings of the 9th International Conference, 151-155, Matfyzpress, Prague, 2005. (With P. Mira).  

• Björling Representation for Spacelike Surfaces with H=cK in L^3. II International Meeting on Lorentzian Geometry-Murcia 2003, 57-62,  Pub. de la RSME, vol. 8, 2004. (With J. A. Aledo and P. Mira).  

• Complete Spacelike Surfaces with a Constant Principal Curvature in the 3-dimensional de Sitter Space. Lorentzian Geometry-Benalmadena 2001, 13-21, Pub. de la RSME, vol. 5, 2003. (With J. A. Aledo).  

• Hypersurfaces with Constant Curvature in R^{n+1}. PDEs, submanifolds and affine differential geometry, 101-108, Banach Center Publications, vol. 57, 2002. (With A. Martínez).

• Some Rigidity Results for Compact Spacelike Surfaces in the 3-dimensional de Sitter Space. Differential Geometry, Valencia 2001, 19-27, World Sci. Publishing, River Edge, NJ, 2002. (With J. A. Aledo).

• Contact holomorphic curves and flat surfaces. Geometry and topology of submanifolds, X (Beijing/Berlin, 1999), 54-61, World Sci. Publishing, River Edge, NJ, 2000. (With A. Martínez and F. Milán).