Publicado

1986-07-01

On the relation Between connection and sprays

Palabras clave:


Linear algebra, bilinear form, symmetric, values, diagonal quadratic form (es)

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Autores/as

  • Ieke Moerdijk Mcgill University
  • Gonzalo E. Reyes Université de Montréal

A well-known (and simple) result of linear algebra asserts that any bilinear symmetric form RnxR δ Rn is completely determined by its values on the diagonal: letting σ (t) = δ (t,t) be the quadratic form associated to δ, we may recover the original form δ simply as the polar form of σ, i.e. δ (t1,t2) = ½ (σ(t1+t2)- σ (t1)- σ (t2)).

Cómo citar

APA

Moerdijk, I. y Reyes, G. E. (1986). On the relation Between connection and sprays. Revista Colombiana de Matemáticas, 20(3-4), 187–222. https://revistas.unal.edu.co/index.php/recolma/article/view/32703

ACM

[1]
Moerdijk, I. y Reyes, G.E. 1986. On the relation Between connection and sprays. Revista Colombiana de Matemáticas. 20, 3-4 (jul. 1986), 187–222.

ACS

(1)
Moerdijk, I.; Reyes, G. E. On the relation Between connection and sprays. rev.colomb.mat 1986, 20, 187-222.

ABNT

MOERDIJK, I.; REYES, G. E. On the relation Between connection and sprays. Revista Colombiana de Matemáticas, [S. l.], v. 20, n. 3-4, p. 187–222, 1986. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32703. Acesso em: 20 abr. 2024.

Chicago

Moerdijk, Ieke, y Gonzalo E. Reyes. 1986. «On the relation Between connection and sprays». Revista Colombiana De Matemáticas 20 (3-4):187-222. https://revistas.unal.edu.co/index.php/recolma/article/view/32703.

Harvard

Moerdijk, I. y Reyes, G. E. (1986) «On the relation Between connection and sprays», Revista Colombiana de Matemáticas, 20(3-4), pp. 187–222. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32703 (Accedido: 20 abril 2024).

IEEE

[1]
I. Moerdijk y G. E. Reyes, «On the relation Between connection and sprays», rev.colomb.mat, vol. 20, n.º 3-4, pp. 187–222, jul. 1986.

MLA

Moerdijk, I., y G. E. Reyes. «On the relation Between connection and sprays». Revista Colombiana de Matemáticas, vol. 20, n.º 3-4, julio de 1986, pp. 187-22, https://revistas.unal.edu.co/index.php/recolma/article/view/32703.

Turabian

Moerdijk, Ieke, y Gonzalo E. Reyes. «On the relation Between connection and sprays». Revista Colombiana de Matemáticas 20, no. 3-4 (julio 1, 1986): 187–222. Accedido abril 20, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/32703.

Vancouver

1.
Moerdijk I, Reyes GE. On the relation Between connection and sprays. rev.colomb.mat [Internet]. 1 de julio de 1986 [citado 20 de abril de 2024];20(3-4):187-222. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/32703

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