Página  web  de      Francisco  J. López

Prepublicaciones:

Proper harmonic embeddings of open Riemann surfaces into R4.  Preprint (con Antonio Alarcón).

Artículos:

-Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces, Anal. PDE 15 (2022), no. 3, 859-890. (con Antonio Alarcón).

-Every meromorphic function is the Gauss map of a minimal surface, J. Geom. Anal. 29 (2019), no. 4, 3011-3038. (con A. Alarcon y F. Forstnerič).

-New complex analytic methods in the stufy of non-orientable minimal surfaces in Rn,  Mem. Amer. Math. Soc. 264 (2020), no. 1283, vi+77 pp.

Providence, RI: American Mathematical Society (AMS). (con A. Alarcon y F. Forstnerič).

-Interpolation and optimal hitting for complete minimal surfaces with finite total curvature, Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. (con A. Alarcón e I. Castro-Infantes). Correction, Calc. Var. Partial Differential Equations 59 (2020), no. 5, 59:178. Full tex view only. ArXiv.

-A construction of complete complex hypersurfaces in the ball with control on the topology, J. Reine Angew. Math. (Crelle's J.) 751 (2019), 289-308. (con A. Alarcón y J. Globevnik).

-Minimal surfaces in minimally convex domains,  Trans. Amer. Math. Soc. 371 (2019), no. 3, 1735-1770 (con A. Alarcón, Barbara Drinovec Drnovšek y F. Forstnerič).

-Holomorphic Legendrian curves, Compos. Math. 153 (2017), no. 9, 1945-1986 (con A. Alarcon y F. Forstnerič).

-Complete bounded embedded complex curves in C2.   J. Eur. Math. Soc., 18 (2016), no. 8, 1675-1705 (con A. Alarcón).

-Embedded minimal surfaces in Rn. Math. Z., 283 (2016) no, 1.2, 1-24 (con A. Alarcon y F. Forstnerič)

-Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves. Proc. London Math. Soc., 111 (2015), no. 4, 851-886 (con A. Alarcón, B. Drinovec Drnovšek y F. Forstnerič).

-Approximation theory for non-orientable minimal surfaces and applications. Geom. and Topol., 19 (2015), no 2, 1015-1062 (con A. Alarcón).

-Complete nonorientable minimal surfaces in R3 and asymptotic behavior. Anal. Geom. Metr. Spaces 2 (2014), 214-234 (con A. Alarcon).

-Properness of associated minimal surfaces. Trans. Am. Math. Soc., 366 (2014), no. 10, 5139-5154 (con A. Alarcón).

-Exotic minimal surfaces. J. Geom. Anal., 24 (2014), no. 2, 988-1006.

-Uniform Approximation by Complete Minimal Surfaces of Finite Total Curvature in R3. Trans. Amer. Math. Soc., 366 (2014), no. 12, 6201-6227.

-Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into C2. J. Geom. Anal., 23 (2013), no. 4, 1794-1805 (con A. Alarcon).

-Compact complete null curves in Complex 3-space. Israel J. Math., 195 (2013), no. 1, 97-122 (con A. Alarcón).

-Harmonic maps and conformal minimal immersions of Riemann surfaces into RN.  Calculus of Variations and PDE, 47 (2013), no. 1-2, 227-242 (con A. Alarcón e I. Fernández).

-On harmonic quasiconformal immersions in R3. Trans. Am. Math. Soc., 365 (2013), no. 4, 1711-1742 (con A. Alarcón).

-Null curves in C3 and Calabi-Yau conjectures. Math. Annalen, 355 (2013), no. 2, 429-455 (con A. Alarcón).

-Minimal surfaces in R3 properly projecting into R2. J. Diff. Geom., 90 (2012), no. 3, 351-382 (con A. Alarcón).

-Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space. Tohoku Math. J. (2) Vol. 62, No. 3 (2010), 311-328 (con Soichi Fujimori).

-Complete minimal surfaces and harmonic functions. Comm. Math. Helv., 87 (2012), n0. 4, 891-904 (con A. Alarcon e I. Fernández).

-On the Uniqueness of the Helicoid and Enneper's surface in the Lorentz-Minkowski space R31 . Trans. Amer. Math. Soc., vol. 363 (2011), 4603-4650 (con I. Fernández).

-Periodic maximal surfaces in the Lorentz-Minkowski space L3. Mathematische Zieitschrift, Vol. 256, 573-601 (2007) (con I. Fernández).

-The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz Minkowski space L3. Manuscripta Mathematica, Vol. 112, 439-463 (2007) (con I. Fernandez y R. Souam).

-Complete nonorientable minimal surfaces in a ball of R3. Trans. Amer. Math. Soc. 358 (2006), 3807-3820 (con S. Morales y F. Martín).

-The space of complete embedded maximal surfaces with isolated singularities in the 3-dimensional Lorentz-Minkowski space L3 . Mathematische Annalen, Vol. 332, 605-643 (2005)  (con I. Fernández y R. Souam).

-Some Picard theorems for minimal surfaces. Trans. Amer. Math. Soc., Vol. 356 (2004), no. 2, 703-733.

-Parabolicity and Gauss map of minimal surfaces. Indiana Univ. Math. J., Vol. 52, N. 4, (2003),  1017-1026 (con J. Pérez).

-Adding handles to Nadirashvili's surfaces. J. Diff. Geom., Vol. 60, N. 1, (2002), 155-175 (con F. Martín y S. Morales).

-Minimal surfaces in a Cone. Annals of Global Analysis and Geometry, Vol. 20, n. 3 (2001), 253-299.

-Minimal surfaces in a wegde of a slab. Comm. in Ann. and Geom., Vol. 9, n. 4 (2001), 683-723 (con F. Martín).

-A uniqueness theorem for properly embedded minimal surfaces bounded by straight lines. J. Austral. Math. Soc. (Series A) Vol. 69(2000), 362-402 (con F. Martín).

-Properly immersed minimal disks bounded by straight lines. Math. Ann., Vol. 318 (2000), 667-706 (con F. Wei).

-Maximal surfaces of Riemann type in Lorentz-Minkowski space R3. Michigan J. of Math., Vol. 47 (2000), 469-497 (con R. López y R. Souam).

-A note on the Gauss map of https://www.ugr.es/~fjlopez/_private/gauss.pdfcomplete nonorientable minimal surfaces. Pacific J. of Math., Vol. 194 (2000), No. 1, 129-135.

-Complete minimal surfaces in R3. Publicacions Matemàtiques, Vol. 43 (1999) 341-449. (survey, con F. Martín).

-Properly immersed singly periodic minimal cylinders in R3. Michigan Math. J., Vol. 45, (1998) 507-528 (con D. Rodríguez).

-Complete minimal surfaces derived from Chen-Gackstatter genus two example. Pacific J. Math., Vol. 184, No. 2, (1998) 311-332, (con F. Martín y D. Rodríguez).

-Hyperbolic complete minimal surfaces with arbitrary topology. Trans. Amer. Math. Soc., Vol. 350, May (1998), 1977-1990.

-A characterization of Riemann's minimal examples. J. Diff. Geom., Vol. 47 (1997), 376-397 (con  M. Ritoré y F. Wei).

-Complete nonorientable minimal surfaces with the highest symmetry group. Amer. J. Math., Vol. 119, No. 1, February (1997), 55-81 (con F. Martín).

-On complete nonorientable minimal surfaces with low total curvature. Trans. Amer. Math. Soc., Vol. 348, No. 7, July (1996), 2737-2758.

-Complete nonorientable minimal surfaces and symmetries. Duke Math. Journal, Vol. 79 (1995), No. 3, 667-686 (con F. Martin).

-A complete minimal Klein bottle in R3. Duke Math. Journal, Vol. 71, No. 1, (1993) 23-30.

-The classification of complete minimal surfaces with total curvature greater than -12π. Trans. Amer. Math. Soc., Vol. 334 (1992), No. 1, 49-74.

-New complete genus zero minimal surfaces with embedded parallel ends. Proc. Am. Math. Soc., Vol. 112, No. 2, June (1991).

-On embedded complete minimal surfaces of genus zero. J. Diff. Geom., Vol. 33 , No. 1 (1991), 293-300. (con A. Ros).

-Superficies minimales, superficies con curvatura media constante. Ph. D. Thesis, Universidad de Granada (1989).

-Complete minimal surfaces with index one and stable constant mean curvature surfaces. Comm. Math. Helv. , Vol. 64 (1989), 34-43 (con A. Ros).

-A nonorientable complete minimal surface in R3 between two parallel planes. Proc. Am. Math. Soc., Vol. 103, No. 3, July (1988), 913-917.