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
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Moerdijk, Iekeca914da7-3183-44ff-bb15-d944d839abe6300Reyes, Gonzalo E.89311e67-5854-4ccd-b0fc-41c15557a06e3002019-06-29T08:10:34Z2019-06-29T08:10:34Z1986https://repositorio.unal.edu.co/handle/unal/48876http://bdigital.unal.edu.co/42333/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)).application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32703Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 187-222 2357-4100 0034-7426Moerdijk, Ieke and Reyes, Gonzalo E. (1986) On the relation between connection and sprays. Revista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 187-222 2357-4100 0034-7426 .On the relation between connection and spraysArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTLinear algebrabilinear formsymmetricvaluesdiagonal quadratic formORIGINAL32703-121032-1-PB.pdfapplication/pdf11893111https://repositorio.unal.edu.co/bitstream/unal/48876/1/32703-121032-1-PB.pdf136bebf221def3c757ab8d3fc73de159MD51THUMBNAIL32703-121032-1-PB.pdf.jpg32703-121032-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6900https://repositorio.unal.edu.co/bitstream/unal/48876/2/32703-121032-1-PB.pdf.jpgfe78cf8abf54b9bf2593e9ba241a6b63MD52unal/48876oai:repositorio.unal.edu.co:unal/488762022-11-12 23:03:56.905Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On the relation between connection and sprays |
| title |
On the relation between connection and sprays |
| spellingShingle |
On the relation between connection and sprays Linear algebra bilinear form symmetric values diagonal quadratic form |
| title_short |
On the relation between connection and sprays |
| title_full |
On the relation between connection and sprays |
| title_fullStr |
On the relation between connection and sprays |
| title_full_unstemmed |
On the relation between connection and sprays |
| title_sort |
On the relation between connection and sprays |
| dc.creator.fl_str_mv |
Moerdijk, Ieke Reyes, Gonzalo E. |
| dc.contributor.author.spa.fl_str_mv |
Moerdijk, Ieke Reyes, Gonzalo E. |
| dc.subject.proposal.spa.fl_str_mv |
Linear algebra bilinear form symmetric values diagonal quadratic form |
| topic |
Linear algebra bilinear form symmetric values diagonal quadratic form |
| description |
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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1986 |
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1986 |
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2019-06-29T08:10:34Z |
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2019-06-29T08:10:34Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/48876 |
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http://bdigital.unal.edu.co/42333/ |
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https://repositorio.unal.edu.co/handle/unal/48876 http://bdigital.unal.edu.co/42333/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/32703 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 187-222 2357-4100 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Moerdijk, Ieke and Reyes, Gonzalo E. (1986) On the relation between connection and sprays. Revista Colombiana de Matemáticas; Vol. 20, núm. 3-4 (1986); 187-222 2357-4100 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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Universidad Nacional de Colombia |
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