Some results on the geometry of full flag manifolds and harmonic maps

Marlio Paredes

Published

2000-07-01

Some results on the geometry of full flag manifolds and harmonic maps

Keywords:

Flag manifolds, (1,2)-symplectic metrics, harmonic maps, Hermitian geometry (es)

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Authors

Marlio Paredes Universidad Industrial de Santander

Abstract (en)

In this note we study, for 𝓃 = 5,6,7, the geometry of the full flag manifolds, F(𝓃) = U(𝓃)/U(1)x⋅⋅⋅ x U(1). By using tournaments we characterize all of the (1,2)-symplectic invariant metrics on F(𝓃), for 𝓃 = 5,6,7, corresponding to different classes of non-integrable invariant almost complex structure.

How to Cite

APA

Paredes, M. (2000). Some results on the geometry of full flag manifolds and harmonic maps. Revista Colombiana de Matemáticas, 34(2), 57–89. https://revistas.unal.edu.co/index.php/recolma/article/view/33771

ACM

[1]

Paredes, M. 2000. Some results on the geometry of full flag manifolds and harmonic maps. Revista Colombiana de Matemáticas. 34, 2 (Jul. 2000), 57–89.

ACS

(1)

Paredes, M. Some results on the geometry of full flag manifolds and harmonic maps. rev.colomb.mat 2000, 34, 57-89.

ABNT

PAREDES, M. Some results on the geometry of full flag manifolds and harmonic maps. Revista Colombiana de Matemáticas, [S. l.], v. 34, n. 2, p. 57–89, 2000. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33771. Acesso em: 2 feb. 2025.

Chicago

Paredes, Marlio. 2000. “Some results on the geometry of full flag manifolds and harmonic maps”. Revista Colombiana De Matemáticas 34 (2):57-89. https://revistas.unal.edu.co/index.php/recolma/article/view/33771.

Harvard

Paredes, M. (2000) “Some results on the geometry of full flag manifolds and harmonic maps”, Revista Colombiana de Matemáticas, 34(2), pp. 57–89. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33771 (Accessed: 2 February 2025).

IEEE

[1]

M. Paredes, “Some results on the geometry of full flag manifolds and harmonic maps”, rev.colomb.mat, vol. 34, no. 2, pp. 57–89, Jul. 2000.

MLA

Paredes, M. “Some results on the geometry of full flag manifolds and harmonic maps”. Revista Colombiana de Matemáticas, vol. 34, no. 2, July 2000, pp. 57-89, https://revistas.unal.edu.co/index.php/recolma/article/view/33771.

Turabian

Paredes, Marlio. “Some results on the geometry of full flag manifolds and harmonic maps”. Revista Colombiana de Matemáticas 34, no. 2 (July 1, 2000): 57–89. Accessed February 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33771.

Vancouver

1.

Paredes M. Some results on the geometry of full flag manifolds and harmonic maps. rev.colomb.mat [Internet]. 2000 Jul. 1 [cited 2025 Feb. 2];34(2):57-89. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33771