RESEARCH INTERESTS:
Differential Geometry. Geometric Analysis.
Lagrangian submanifolds.
Mean curvature flow.
Weingarten surfaces.
Profile in MathScinet
Profile in Scopus
Profile in zbMath
Profile in
Web of Science
Scholar Google Citations
PUBLICATIONS
(papers, proceedings and preprints)
47|
Carretero, Paula;
Castro, Ildefonso
A Geometric Characterization of The Quadric Surfaces of Revolution.
Romanian Journal of
Mathematics and Computer Science, vol.13 2023, Issue 2
- Special Issue "Proceedings of the International Conference Riemannian
Geometry and Applications - RIGA 2023", p. 76-82 .
46| Castro, Ildefonso;
Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
Helicoidal minimal surfaces in the 3-sphere: An approach via spherical
curves.
Preprint
arXiv:2303.08043
[math.DG]
45|
Carretero, Paula;
Castro, Ildefonso
A new approach to rotational Weingarten surfaces.
Mathematics
2022,
10, 578.
https://doi.org/10.3390/math10040578
arXiv:2112.15395
[math.DG]
44|
Castro, I., Castro-Infantes, I.,
Castro-Infantes, J. (2023).
Spherical Curves Whose Curvature Depends on Distance to a Great Circle.
In: Alarcón, A., Palmer, V., Rosales, C. (eds) New Trends in Geometric
Analysis. RSME Springer Series, vol 10. Springer, Cham.
https://doi.org/10.1007/978-3-031-39916-9_2
arXiv:2111.00458
[math.DG]
43|
Castro, Ildefonso;
Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
Prescribing Curvature to Spherical Helicoidal Surfaces.
Riemannian Geometry and Applications, Proceedings RIGA 2021.
Adela Mihai and Ion Mihai Editors. pp 5–16.
42|
Castro, Ildefonso;
Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
On a Problem of David Singer about Prescribing Curvature for Curves.
Twenty First International Conference on Geometry, Integrability and
Quantization
June 3–8, 2019, Varna, Bulgaria Ivaïlo M. Mladenov, Vladimir Pulov and Akira
Yoshioka Editors. Avangard Prima, Sofia 2020, pp 100–117.
doi:10.7546/giq-21-2020-100-117.
41|
Castro, Ildefonso;
Castro-Infantes, Ildefonso; Castro-Infantes, Jesús
Curves in Lorentz-Minkowski plane
with curvature depending on their position.
Open Math.
2020; 18: 749-770.
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 CP
3 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 C
n 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 C
2.
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)
9th European
Congress of Mathematics,
Sevilla 2024
Congreso bienal de la RSME,
Pamplona 2024
The International
Conference Riemannian Geometry and Applications -RIGA 2023, Romania
2023 (online)
Encuentro homenaje a Francisco Urbano, UNIA Sede Baeza, 2022
Congreso bienal de la RSME,
Ciudad Real 2021/22
The International
Conference Riemannian Geometry and Applications -RIGA 2021,
Romania
2021 (online)
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:
25 noviembre 2023
