
(with Vitali Kapovitch) Restrictions on the geometry at infinity of nonnegatively curved Riemannian manifolds, Duke Mathematical Journal, volume 78, pp. 257276 (1995): ps.


(with Peter Petersen) Rigidity in nonnegative curvature,Annales Scientifiques de L`Ecole Normale Superieure, volume 30, pp. 595603 (1997): dvi,pdf,ps.


Improving the metric in an open manifold with nonnegative curvature,Proceedings of the American Mathematical Society, volume 126, pp. 15411545 (1998): dvi,pdf,ps.


(with Gerard Walschap) The metric projection onto the soul,Transactions of the American Mathematical Society, 352 (2000), pp.5569: dvi,ps.


On the metric structure of open manifolds with nonnegative curvature, Pacific Journal of Mathematics, 196 (2000), pp.429444: dvi,pdf,ps.


(with Gerard Walschap) Twisting and nonnegative curvature metrics on vector bundles over the round sphere, Journal of Differential Geometry 52 (2000), pp.189202: dvi, pdf,ps.


Nonnegative curvature and normal holonomy in open manifolds, Contemporary Mathematics 258 (2000), pp.197202: dvi,pdf,ps.


(with Valerii Berestovskii) A metric characterization of Riemannian submersions, Annals of Global Analysis and Geometry 18 (2000), pp.577588: dvi,pdf,ps.


(with Gerard Walschap) Transitive holonomy and rigidity in nonnegative curvature, Mathematische Zeitschrift 237 (2001), pp.251257: dvi,pdf,ps.


(with Lorenzo Sadun and Gerard Walschap) Parallel connections over symmetric spaces, Journal of Geometric Analysis, vol. 11 (2001), n. 2, pp. 265281: dvi,pdf, ps.


Isometric immersions without positive Ricci curvature, Contemporary Mathematics, vol. 288 (2001), pp.339342: dvi, pdf, ps.


(with Thomas Schick and Gerard Walschap) Bundles with spherical Euler class, Pacific Journal of Mathematics 207 (2002), no. 2, pp. 377391: dvi, pdf, ps.


(with Gerard Walschap) When is a Riemannian submersion homogeneous?, Geometria Dedicata 125 (2007), pp. 4752: dvi, pdf, ps.


(with Gerard Walschap) The dual foliation in open manifolds with nonnegative sectional curvature, Proceedings of the American Mathematical Society, 136 (2008), no. 4, pp. 14191425: dvi, pdf, ps.


(with Vicente Muñoz) Mikhail Gromov, a great geometer who could have been a Fields medallist, (Spanish) Gac. R. Soc. Mat. Esp. 12 (2009), no. 3, 573589.: pdf.


(with Pablo Angulo) Cut and singular loci up to codimension 3, Annales de l'institut Fourier, 61 no. 4 (2011), p. 16551681, pdf.


(with Pablo Angulo) Balanced split sets and Hamilton Jacobi equations, Calculus of Variations and PDE's 40 (2011) nº 12, 223252 pdf


(with Gerard Walschap) Submetries vs submersions, Revista Matemática Iberoamericana, 27 (2011) nº 2, 605619 pdf


(with Gerard Walschap) The curvature operator at the soul, Illinois Journal of Mathematics, 56 (2012), nº 2, 301306, pdf


(with Fernando GalazGarcía) Isometry groups of Alexandrov spaces, Bull. Lond. Math. Soc. 45 (2013), no. 3, 567579, pdf


(with Pablo Angulo and Gerard Walschap) Twisted submersions in nonnegative sectional curvature. Arch. Math. (Basel) 101 (2013), no. 2, 171180, pdf


(with Fernando GalazGarcía) On ThreeDimensional Alexandrov Spaces, International Mathematics Research Notices (2015) no.14: pp.55605576.
doi: 10.1093/imrn/rnu101, pdf


(with Pablo Angulo, Daniel Faraco and Alberto Ruiz) Obstructions to metrics with limiting Carleman weights, Analysis and PDE's, 9(3) (2016), 575–596 pdf.


(with Fernando GalazGarcía) Every point in a Riemannian manifold is critical, Calculus of Variations and PDE's, 2015, Volume 54, Issue 2, pp 20792084, pdf.

 (with David González) Soft restrictions on positively curved Riemannian submersions, The Journal of Geometric Analysis,
April 2016, Volume 26, Issue 2, pp 14421452, pdf.


(with Pablo Angulo and Daniel Faraco) Sufficient conditions for the existence of limiting Carleman weights, Forum of Mathematics Sigma, Volume 5 2017, e7 pdf.


(with Qintao Deng , Fernando GarcíaGalaz,and Michael Munn) ThreeDimensional Alexandrov spaces with positive or nonnegative Ricci curvature, Potential Anal. 48 (2018), no. 2, 223–238. pdf.


(with Frederick Wilhelm) Focal radius, rigidity and lower curvature bounds, Proceedings of the London Mathematical Society, Volume 116, Issue 6 (2018), 15191552
pdf.


(with Jaime Santos) On the isometry group of RCD*(K,N) spaces, Manuscripta Mathematica, Volume 158, Issue 3–4, pp 441–461, (2019) pdf.

 (with Jian Ge and Pedro Solórzano) Riemannian rigidity of the parallel postulate in total curvature, Mathematische Annalen, 376(1), 177185 (2020) pdf.

 (with Fernando Galaz García and Jesús Nuñez Zimbrón) Sufficiently collapsed irreducible Alexandrov 3spaces are geometric, Indiana Univ. Math. J. 69 (2020), no. 3, 977–1005, pdf.


(with Frederick Wilhelm) Restrictions on submanifolds via focal radius bounds, Mathematical Research Letters, Volume 27, Number 1, 115–139, 2020. pdf.


(with Pablo AnguloArdoy, Daniel Faraco y Mikko Salo,) Limiting Carleman weights and conformally
transversally anisotropic manifolds, Trans. Amer. Math. Soc. 373 (2020), no. 7, 5171–5197, pdf.


(with Fernando GalazGarcía y Jesús Nuñez Zimbrón,) Collapsed threedimensional Alexandrov
spaces: a brief survey, Differential Geometry in the Large, edited by O. Dearricott, W. Tuschmann, Y. Nikolayevsky, T. Leistner, and D. Crowley, London Mathematical Society Lecture Note Series, vol 463, pp. 291310.


(with Frederick Wilhelm) A softer connectivity principle, Communications in Analysis and Geometry, Volume 30 (2022)
Number 5. pdf.


(with Jian Ge) Bounded distance geodesic foliations in Riemannian planes, Journal für reine und
angewandte Mathematik (Crelle), 798 (2023), 293–306. pdf.


(with Mauricio Che, Fernando GalazGarcía, and Ingrid Membrillo Solis) Metric Geometry of Spaces of Persistence Diagrams , to appear at Journal of Applied and Computational Topology, pdf.


(with Mauricio Che, Fernando GalazGarcía, Ingrid Membrillo Solis, and Motiejus Valiunas) Basic Metric Geometry of the Bottleneck Distance , to appear at Proceedings of the American Mathematical Society, 152 (2024), 35753591
DOI: https://doi.org/10.1090/proc/16776 pdf.


(with Manuel Mellado Cuerno) Upper and lower bounds on the filling radius, to appear at Indiana University Mathematics Journal, pdf.


(with David GonzálezÁlvaro) On the double soul conjecture, (a survey) New Trends in Geometric Analysis
Spanish Network of Geometric Analysis 20072021, RSME Springer Series (RSME, volume 10). pdf..


(with Manuel Cuerno, Rosa María Arnaldo Valdés, and Fernando Gómez Comendador) Topological Data Analysis in ATM: the shape of big flight data sets, preprint pdf.


(with Luis Atzin Franco Reyna, Fernando GalazGarcía, José Carlos GómezLarrañaga, and Wolfgang Heil) Decompositions of threedimensional Alexandrov spaces, preprint pdf.
