J. A. Oubiña - investigación

INVESTIGACIÓN

Área de interese: Xeometría Diferencial, en particular o estudo de estructuras xeométricas en variedades diferenciables, en relación con:

PUBLICACIÓNS

Artigos

Homogeneous spin Riemannian manifolds with the simplest Dirac operator. Advances in Geometry 18, no. 3, 289-302 (2018)
(con P. M. Gadea, J. C. González-Dávila)
Cyclic homogeneous Riemannian manifolds. Annali di Matematica Pura ed Applicata. Series IV 195, no. 5, 1619-1637 (2016)
(con P. M. Gadea, J. C. González-Dávila)
A survey on homogeneous structures on the classical hyperbolic spaces. Geometry, algebra and applications: from mechanics to cryptography, Springer Proc. Math. Stat. 161, 1-12 (2016)
(con W. Batat, P. M. Gadea)
Cyclic metric Lie groups. Monatshefte für Mathematik 176, no. 2, 219-239 (2015)
(con P. M. Gadea, J. C. González-Dávila)
Towards a local definition of body in continuum mechanics. An. Univ. Craiova Ser. Mat. Inform. 41, no. 1, 104-128 (2014)
(con Néstor León D, Óscar López Pouso)
Homogeneous Riemannian structures on some solvable extensions of the Heisenberg group. Acta Mathematica Hungarica 138, no. 4, 341-364 (2013)
(con W. Batat, P. M. Gadea)
The Lorentzian oscillator group as a geodesic orbit space. Journal of Mathematical Physics 53, no. 10, 103510, 14 pp. (2012)
(con W. Batat, P. M. Gadea)
Homogeneous quaternionic Kähler structures on rank-three Alekseevsky spaces. Pubicationes Mathematicae Debrecen 78, no. 3-4, 691-707 (2011)
(con W. Batat, P. M. Gadea)
Homogeneous pseudo-Riemannian structures of linear type. Journal of Geometry and Physics 61, no. 3, 745-764 (2011)
(con W. Batat, P. M. Gadea)
Homogeneous Kähler and Sasakian structures related to comples hyperbolic spaces. Proceedings of the Edinburgh Mathematical Society (2) 53, no. 2, 393-413 (2010)
(con P. M. Gadea)
Homogeneous quaternionic Kähler structures on eight-dimensional non-compact quaternion-Kähler symmetric spaces. Mathematical Physics, Analysis and Geometry 12, no. 1, 47-74 (2009)
(con M. Castrillón López, P. M. Gadea)
Homogeneous quaternionic Kähler structures on 12-dimensional Alekseevski spaces. Journal of Geometry and Physics 57, no. 10, 2098-2113 (2007)
(con M. Castrillón López, P. M. Gadea)
Homogeneous Riemannian structures on Berger 3-spheres. Proceedings of the Edinburgh Mathematical Society 48, 375-387 (2005)
(con P.M. Gadea)
Chern-Simons forms associated to homogeneous pseudo-Riemannian structures. Rocky Mountain Journal of Mathematics 35, 149-162 (2005)
(con P.M. Gadea)
Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group. International Journal of Mathematics and Mathematical Sciences 2003:47, 3007-3014 (2003)
(con P.M. Gadea)
The oscillator group as a homogeneous spacetime. Libertas Mathematica (University of Texas at Arlington) 19, 9-18 (1999)
(con R. Durán-Díaz, P.M. Gadea) Zbl
Reductive decompositions and Einstein-Yang-Mills equations associated to the oscillator group. Journal of Mathematical Physics 40, no. 7, 3490-3498 (1999)
(con R. Durán-Díaz, P.M. Gadea) Zbl
Homogeneous Lorentzian structures on the oscillator groups. Archiv der Mathematik (Basel) 73, 311-320 (1999)
(con P.M. Gadea) Zbl
Hamiltonian systems on k-cosymplectic manifolds. Journal of Mathematical Physics 39, no. 2, 876-893 (1998)
(con M. de León, E. Merino, P. Rodrigues, M. Salgado) Zbl
Reductive homogeneous pseudo-Riemannian manifolds. Monatshefte für Mathematik 124, 17-34 (1997)
(con P.M. Gadea) Zbl
Stable almost cotangent structures. Bolletino della Unione Matematica Italiana (7) 11-B, 509-529 (1997)
(con M. de León, E. Merino, M. Salgado) Zbl
Homogeneous almost para-Hermitian structures. Indian Journal of Pure and Applied Mathematics 26, no. 4, 351-362 (1995)
(con P.M. Gadea) Zbl
Characterization of higher-order tangent bundles. Beiträge zur Algebra und Geometrie 36, no. 1, 73-87 (1995)
(con M. de León, M. Salgado) Zbl
A global characterization of jet bundles of p¹-velocities and colevocities. Annales de la Faculté des Sciences de Toulouse. Mathématiques. (6) 4, no. 1, 61-75 (1995)
(con M. de León, E. Merino, M. Salgado) Zbl
A characterization of tangent and stable tangent bundles. Annales de l'Institut Henri Poincaré. Physique Théorique 61, no. 1, 1-15 (1994)
(con M. de León, E. Merino, M. Salgado) Zbl
Integrable almost s-tangent structures. Rendiconti di Matematica e delle sue Applicazioni (7) 14, no. 4, 609-623 (1994)
(con M. de León, M. Salgado) Zbl
Homogeneous pseudo-Riemannian structures and homogeneous almost para-Hermitian structures. Houston Journal of Mathematics 18, no. 3, 449-465 (1992)
(con P.M. Gadea) Zbl
Almost s-tangent manifolds of higher order. Pacific Journal of Mathematics 154, no. 2, 201-213 (1992)
(con M. de León, P.R. Rodrigues, M. Salgado) Zbl
Conformal and related changes of metric on the product of two almost contact metric manifolds. Publicacions Matemàtiques 34, 199-207 (1990)
(con D.E. Blair) Zbl
A note on almost s-tangent structures. Colloquium Mathematicum 55, 67-70 (1988) Zbl
Almost tangent structures in bundle spaces over almost s-tangent manifolds. Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie 29 (77), nr. 3, 245-254 (1985)
(con M. de León) Zbl
New classes of almost contact metric structures. Publicationes Mathematicae Debrecen 32, no. 3-4, 187-193 (1985) Zbl
On almost complex structures on the semidirect product of almost contact Lie algebras. Tensor (N.S.) 41, no. 2, 111-115 (1984) Zbl
Almost s-tangent manifolds. Geometriae Dedicata 14, no. 4, 395-403 (1983)
On the existence of J(4,2)-structures. Rivista di Matematica dell'Università di Parma (4) 9, 179-184 (1983)
(con P.M. Gadea) Zbl
On differentiable manifolds with f-structure. Geometriae Dedicata 10, no. 1-4, 393-402 (1981)
(con P.M. Gadea)
A classification for almost contact structures, II: Examples (1981)
A classification for almost contact structures, I (1980)
On the cohomology of some Riemannian manifolds with parallel f-structure. Tensor (N.S.) 34, no. 3, 286-294 (1980)
(con P.M. Gadea)
Une connexion caractérisant l'intégrabilité d'une f(4,±2)-structure, Comptes Rendus de l'Académie des Sciences Paris, Sér A-B, 286, no. 11, A523-A525 (1978)
(con P.M. Gadea)

Monografías

Producto vectorial cruzado. Algunas aplicaciones a las geometrías pseudokaehlerianas, Public. del Depto. de Geom. y Top. nº 34, (138 pp.) Univ. de Santiago de Compostela (1975)
Geometría diferencial y cohomología de las f-variedades, Public. del Depto. de Geom. y Top. nº 44, (177 pp.) Univ. de Santiago de Compostela (1977)

Comunicacións

Una clasificación de las estructuras métricas casi contacto.
Act. VIII Jorn. Luso-Espanholas de Matemática (Coimbra, 1981), I, 345, (1981).
Estructura casi compleja o casi contacto en una f-variedad métrica.
Act. XII Jorn. Luso-Espanholas de Matemática (Braga, 1987), II, 667-672 (1989).
(con José J. Mencía)
k-Hamiltonian systems.
Proceedings of the Workshop on Recent Topics in Differential Geometry, Public. Depto. de Geom. y Top. (Santiago de Compostela, 1997), 89, 207-217 (1998).
(con M. de León, E. Merino, P. Rodrigues e M. Salgado) Zbl

Teses de doutoramento dirixidas

Subvariedades semi-invariantes de variedades casi hermíticas.
Doutorando: José María Sierra Carrizo.
Universidad de La Laguna, 1986.
f-estructuras con núcleo paralelizable.
Doutorando: José Julio Mencía González.
Universidad del País Vasco (E.H.U.), 1986.
3-estructuras casi contacto.
Doutorando: María Dolores Monar Hernández.
Universidad de La Laguna, 1987.