Research: 1993-2018


RESEARCH INTERESTS:
Differential Geometry. Geometric Analysis.
Lagrangian submanifolds. Mean curvature flow

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PUBLICATIONS
(papers,  proceedings and preprints)

 
 


41| Castro, Ildefonso; Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
Curves in Lorentz-Minkowski plane with curvature depending on their position.
Preprint 2018. arXiv:1806.09187 [math.DG]
40| Castro, Ildefonso; Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
Curves in Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers.
Open Math. 2018; 16: 747–766.
39| Castro, Ildefonso; Lerma, Ana M.; Miquel,Vicente
Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane. J. Math. Anal. Appl. 462 (2018), 637–647
https://doi.org/10.1016/j.jmaa.2018.02.033  arXiv:1603.03229 [math.DG]
38| Castro, Ildefonso; Lerma, Ana M.
Lagrangian translators under mean curvature flow
Proc. XI Encuentro Andaluz de Geometría (IMUS Sevilla, 15 de mayo de 2015), 59-65.
Alfonso Carriazo et al. (Ed.) 2017. ISBN 978-84-17293-09-3.
37| Castro, Ildefonso; Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
New plane curves with curvature depending on distance from the origin.
Mediterr. J. Math. (2017) 14: 108  DOI: 10.1007/s00009-017-0912-z
36| Castro, Ildefonso; Lerma, Ana M.
Lagrangian homothetic solitons for the inverse mean curvature flow.
Results in Maths. 71 (2017), 1109-1125
DOI
10.1007/s00025-016-0574-3 arXiv:1511.03826 [math.DG]
35| Castro, Ildefonso; Castro-Infantes, Ildefonso
Plane curves with curvature depending on distance to a line.
Diff. Geom. Appl. 44 (2016), 77-97
34| Castro, Ildefonso; Lerma, Ana M.
The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow
International Mathematics Research Notices 2014 (2014), 1515–1527
doi:1093/imrn/rns264
arXiv:1202.2555 [math.DG]
33| Castro, Ildefonso; Lerma, Ana M.
A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves
 Journal of Geometry and Physics 75 (2014), 162-172 arXiv:1307.2152
32|Castro, Ildefonso; Lerma, Ana M.
Lagrangian mean curvature flow
Pure and Applied Differential Geometry - PADGE 2012, In Memory of Franki Dillen, 72-80.
Joeri Van der Veken, Ignace Van de Woestyne, Leopold Verstraelen, Luc Vranken (Eds.),  Shaker Verlag, Aachen, 2013. ISBN: 978-3-8440-2363-3.
31| Castro, Ildefonso; Lerma, Ana M.
Solitons for Lagrangian mean curvature flow
Proc. Int. Meeting on Differential Geometry (Córdoba, November 15-17, 2010), 49-70.
Ediciones Don Folio, Córdoba, 2012. ISBN 978-84-15105-91-6.
30| Castro, Ildefonso; Lerma, Ana M.
Translating solitons for Lagrangian mean curvature flow in complex Euclidean plane
Internat. J. Math.  23, No. 10 (2012), 1250101 (16 pages) arXiv:1007.1886 [math.DG]
29| Castro, Ildefonso; Torralbo, Francisco; Urbano, Francisco
On Hamiltonian stationary Lagrangian spheres in non-Einstein Kaehler surfaces
Math. Z. 271 (2012), 257-270  arXiv:0706.4390 [math.DG]
28| Anciaux, Henri; Castro, Ildefonso
Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space.
Results Math. 60 (2011), 325–349 arXiv:0906.4305v1 [math.DG]
27| Castro, Ildefonso; Lerma, Ana M.
Hamiltonian stationary self-similar solutions for Lagrangian mean curvature flow in complex Euclidean plane
Proc. Amer. Math. Soc. 138 (2010), 1821-1832 arXiv:0906.3117 [math.DG]
26| Castro, Ildefonso
Hamiltonian minimal Lagrangian spheres in the product of spheres
Symposium on the differential geometry of Submanifolds, 43-50,
Luc Vrancken (Ed.), 2007. ISBN: 978-1-8479-9016-7
25| Castro, Ildefonso
Minimal surfaces in  S^2  x  S^2
Pure and Applied Differential Geometry - PADGE 2007, 39-47,
Franki Dillen, Ignace Van de Woestyne (Eds.),  Shaker Publishing , 2007.
ISBN: 978-3-8322-6759-9
24| Castro, Ildefonso; Urbano, Francisco
Minimal Lagrangian surfaces in  S^2 x S^2.
Communications in Analysis and Geometry 15 (2007), 217-248  math.DG/0601637
23| Castro, Ildefonso; Chen, Bang-Yen
Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves.
Tohoku Math. J. 58 (2006), 565-579 math.DG/0603368
22| Castro, Ildefonso; Li, Haizhong.; Urbano, Francisco
Hamiltonian minimal Lagrangian submanifolds in complex space forms.
Pacific Journal of Mathematics 227 (2006), 43-65.math.DG/0412046
21| Anciaux, Henri; Castro, Ildefonso; Romon, Pascal
Lagrangian submanifolds foliated by (n-1)-spheres in R^2n.
Acta Math. Sinica 22 (2006), 1197-1214.math.DG/0401372v1
20| Castro, Ildefonso; Montealegre, Cristina R.
A family of surfaces with constant curvature in Euclidean four space.
Soochow Journal of Mathematics 30 (2004),  293-301
(Special volume in honour of B.Y. Chen).

19| Castro, Ildefonso; Urbano, Francisco
A characterization of the Lagrangian pseudosphere.
Proc. Amer. Math. Soc. 132 (2004),  1797-1804. Abstract
18| Castro, Ildefonso; Urbano, Francisco  
On a new construction of special Lagrangian immersions in complex Euclidean space.
Quart. J. Math. 55 (2004),  253-265.  (Oxford University Press). math.DG/0403108
17| Castro, Ildefonso  
Lagrangian surfaces with circular ellipse of curvature in complex  space forms.
Math. Proc. Cambridge Philos. Soc. 136 (2004),  239-245.  math.DG/0210134
16| Castro, I.; Montealegre, Cristina R.; Urbano, Francisco
Minimal Lagrangian submanifolds in the complex hyperbolic space.
Illinois Journal of Mathematics, 46 (2002), 695-721
15| Castro, Ildefonso; Vrancken, Luc
Minimal Lagrangian submanifolds in CP3 and the sinh-Gordon equation.
Results Math. 40 (2001), no. 1-4, 130-143.
14| Castro, Ildefonso; Montealegre, Cristina R.  
Lagrangian submanifolds with zero scalar curvature in complex Euclidean space.
Geom. Dedicata 86 (2001), no. 1-3, 179-183.
13| Castro, I.; Montealegre, Cristina R.; Urbano, Francisco
Closed conformal vector fields and Lagrangian submanifolds in complex space forms.
Pacific J. Math.199 (2001), no. 2, 269-302.
12| Castro, Ildefonso; Urbano, Francisco
Willmore surfaces of R4 and the Whitney sphere.
Ann. Global Anal. Geom. 19 (2001), no. 2, 153-175.
11| Castro, Ildefonso
The Lagrangian version of a theorem of J. B. Meusnier.
Summer School on Differential Geometry (Coimbra, 1999), 83-89,
Univ. Coimbra, Coimbra,1999.

10| Castro, Ildefonso
On the Lagrangian catenoid.
Geometry and topology of submanifolds, IX (Valenciennes/Lyon/Leuven, 1997), 74-79,
World Sci. Publishing, River Edge, NJ,
1999.
09| Castro, Ildefonso; Urbano, Francisco
On a minimal Lagrangian submanifold of Cn foliated by spheres.
Michigan Math. J. 46 (1999), no. 1, 71-82.
08| Castro, I.  
Minimal Lagrangian submanifolds in complex Euclidean space.
Proceedings of the 1st International Meeting on Geometry and Topology (Braga, 1997), 43-49 (electronic),
Cent. Mat. Univ. Minho, Braga,
1998.
07| Castro, Ildefonso
Lagrangian spheres in the complex Euclidean space satisfying a geometric equality.
Geom. Dedicata 70 (1998), no. 2, 197-208.
06| Castro, Ildefonso; Urbano, Francisco
Examples of unstable Hamiltonian-minimal Lagrangian tori in C2.
Compositio Math. 111 (1998), no. 1, 1-14.
05| Castro, Ildefonso; Urbano, Francisco
On twistor harmonic surfaces in the complex projective plane.
Math. Proc. Cambridge Philos. Soc. 122 (1997), no. 1, 115-129.
04| Castro, Ildefonso
Lagrangian surfaces with conformal Maslov form. (In collaboration with Francisco Urbano).
Geometry and topology of submanifolds, VIII (Brussels, 1995/Nordfjordeid, 1995), 46-55, World Sci. Publishing, River Edge, NJ, 1996.
03| Castro, Ildefonso; Urbano, Francisco
Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes.
Ann. Global Anal. Geom. 13 (1995), no. 1, 59-67.
02| Castro, Ildefonso; Urbano, Francisco
New examples of minimal Lagrangian tori in the complex projective plane.
Manuscripta Math. 85 (1994), no. 3-4, 265-281.
01| Castro, Ildefonso; Urbano, Francisco
Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form.
Tohoku Math. J. (2) 45 (1993), no. 4, 565-582.
 

CONFERENCES, CONGRESSES, WORKSHOPS
(during the last years)


XXI International Conference Geometry, Integrability and Quantization, Varna 2019
XXVII International Fall Workshop on Geometry and Physics, Sevilla 2018
PADGE 2017, Leuven 2017
7th European Congress of Mathematics, Berlin 2016
Coloquio de Geometría Sur+Este, Murcia 2016
Joint Conference of the Belgian, Royal Spanish and Luxembbourg Math. Socs., Logroño 2016
XV CEAM THALES, UNIA sede Baeza 2014
Workshop on Minimal Submanifolds & Related Topics, Hannover 2013
Congreso bienal de la RSME, Santiago de Compostela 2013
Geometric Flows and Geometric Structures, Valencia 2012
PADGE 2012, Leuven 2012
IX Encuentro Andaluz de Geometría, Jaén 2012
2011 Taiwan International Conference on Geometry: Special Lagrangians and Related Topics
International Meeting on Differential Geometry, Córdoba 2010
Workshop on Extrinsic Geometric Flows, Valencia 2010


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Última actualización: 31 octubre 2018