Artículo Original
Publicado 2000-08-08
Cómo citar
Paredes, M., & Pinzón, S. (2000). Variedades bandera maximales, torneos y aplicaciones armónicas. Revista Integración, Temas De matemáticas, 18(2), 65–77. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/833
Resumen
En este trabajo presentamos los conceptos básicos para entender la geometría de la variedades bandera maximales complejas, así como la interesante relación que existe con la combinatoria. Presentamos algunos resultados recientes y algunas aplicaciones en la construcción de aplicaciones armónicas.
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Referencias
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[Bo]A. Borel. “K ̈ahlerian Coset Spaces of Semi-Simple Lie Groups”,Proc. Nat.Acad. of Sci.,40(1954), 1147-1151.
[BH]A. Borel & F. Hirzebruch. “Characteristic classes and homogeneous spacesI”,Amer. J. Math.,80(1958), 458-538.
[BS]F.E. Burstall & S. Salamon. “Tournaments, Flags and Harmonic Maps”.Math. Ann.,277(1987), 249-265.
[ChE]J. Cheeger & D. G. Ebin.Comparison Theorems in Riemannian Geometry,North-Holland, Amsterdam, 1975.
[CNS]N. Cohen, C.J.C. Negreiros & L.A.B. San Martin. “Characteriza-tion of (1,2)-Symplectic Metrics on Flag Manifolds”,Proceedings of Interna-tional Congress on Differential Geometry Dedicated to Alfred Gray, Contempo-rary Mathematics, 2000.
[ChW]S.S. Chern & J. G. Wolfson. “Harmonic Maps of the Two-Sphere into aComplex Grassmann Manifold II”.Ann. of Math.,125(1987), 301–335.
[EL]J. Eells & L. Lemaire. “Selected Topics in Harmonic Maps”.C. B. M. S.Regional Conference Series in Mathematics, No. 50, American MathematicalSociety, Providence, 1983.
[ES]J. Eells & J. H. Sampson. “Harmonic Mappings of Riemannian Manifolds”.Amer. J. Math.,86(1964), 109-160.
[ESa]J. Eells & S. Salamon. “Twistorial Constructions of Harmonic Maps ofSurfaces into Four-Manifolds”.Ann. Scuola Norm. Sup.Pisa (4)12(1985),589–640.
[EW]J. Eells & J.C. Wood. “Harmonic Maps from Surfaces to Complex Projec-tive Spaces”.Advances in Mathematics49(1983), 217-263.
[GH]A. Gray & L. M. Hervella. “The Sixteen Classes of Almost HermitianManifolds and Their Linear Invariants”,Ann. Mat. Pura Appl.,123(1980),35-58.
[Bo]A. Borel. “K ̈ahlerian Coset Spaces of Semi-Simple Lie Groups”,Proc. Nat.Acad. of Sci.,40(1954), 1147-1151.
[BH]A. Borel & F. Hirzebruch. “Characteristic classes and homogeneous spacesI”,Amer. J. Math.,80(1958), 458-538.
[BS]F.E. Burstall & S. Salamon. “Tournaments, Flags and Harmonic Maps”.Math. Ann.,277(1987), 249-265.
[ChE]J. Cheeger & D. G. Ebin.Comparison Theorems in Riemannian Geometry,North-Holland, Amsterdam, 1975.
[CNS]N. Cohen, C.J.C. Negreiros & L.A.B. San Martin. “Characteriza-tion of (1,2)-Symplectic Metrics on Flag Manifolds”,Proceedings of Interna-tional Congress on Differential Geometry Dedicated to Alfred Gray, Contempo-rary Mathematics, 2000.
[ChW]S.S. Chern & J. G. Wolfson. “Harmonic Maps of the Two-Sphere into aComplex Grassmann Manifold II”.Ann. of Math.,125(1987), 301–335.
[EL]J. Eells & L. Lemaire. “Selected Topics in Harmonic Maps”.C. B. M. S.Regional Conference Series in Mathematics, No. 50, American MathematicalSociety, Providence, 1983.
[ES]J. Eells & J. H. Sampson. “Harmonic Mappings of Riemannian Manifolds”.Amer. J. Math.,86(1964), 109-160.
[ESa]J. Eells & S. Salamon. “Twistorial Constructions of Harmonic Maps ofSurfaces into Four-Manifolds”.Ann. Scuola Norm. Sup.Pisa (4)12(1985),589–640.
[EW]J. Eells & J.C. Wood. “Harmonic Maps from Surfaces to Complex Projec-tive Spaces”.Advances in Mathematics49(1983), 217-263.
[GH]A. Gray & L. M. Hervella. “The Sixteen Classes of Almost HermitianManifolds and Their Linear Invariants”,Ann. Mat. Pura Appl.,123(1980),35-58.