On the relation between connection and sprays
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,t...
- Autores:
-
Moerdijk, Ieke
Reyes, Gonzalo E.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1986
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/48876
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/48876
http://bdigital.unal.edu.co/42333/
- Palabra clave:
- Linear algebra
bilinear form
symmetric
values
diagonal quadratic form
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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)). |
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