Curves and lattices of points in the minkowski plane

The main goal of this work is to derive an integral formula refering to bounded convex sets (section 3), in order to obtain some results involving lattices of points in the Minkowski plane (seccion 4). To prove such a formula it is necessary to develop some tools of differential geometry in the larg...

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Autores:
Peri, Carla
Tipo de recurso:
Article of journal
Fecha de publicación:
1991
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43411
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43411
http://bdigital.unal.edu.co/33509/
Palabra clave:
Integral formula
bounded convex sets
lattice points
Minkowski plane
tools
differential geometry
drawing tangents theorem
curves Euclid
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_90be6d4bb709bcf1d473353e0092a3a8
oai_identifier_str oai:repositorio.unal.edu.co:unal/43411
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network_name_str Universidad Nacional de Colombia
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spelling 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_abf2Peri, Carlacd9398a2-ef9c-40d5-a27b-40db5ec281c13002019-06-28T11:56:40Z2019-06-28T11:56:40Z1991https://repositorio.unal.edu.co/handle/unal/43411http://bdigital.unal.edu.co/33509/The main goal of this work is to derive an integral formula refering to bounded convex sets (section 3), in order to obtain some results involving lattices of points in the Minkowski plane (seccion 4). To prove such a formula it is necessary to develop some tools of differential geometry in the large. This is done in section 2, where the turning tangents theorem for Euclidean curves is carried over to Minkowski plane.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33373Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 17-34 0034-7426Peri, Carla (1991) Curves and lattices of points in the minkowski plane. Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 17-34 0034-7426 .Curves and lattices of points in the minkowski planeArtículo 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/ARTIntegral formulabounded convex setslattice pointsMinkowski planetoolsdifferential geometrydrawing tangents theoremcurves EuclidORIGINAL33373-123768-1-PB.pdfapplication/pdf5196672https://repositorio.unal.edu.co/bitstream/unal/43411/1/33373-123768-1-PB.pdf1ead5ebb6e0c03f2b683daa44cc34931MD51THUMBNAIL33373-123768-1-PB.pdf.jpg33373-123768-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6924https://repositorio.unal.edu.co/bitstream/unal/43411/2/33373-123768-1-PB.pdf.jpg7932e96f2ab7a4a1d24e8cd133e69f54MD52unal/43411oai:repositorio.unal.edu.co:unal/434112023-02-12 23:04:17.588Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Curves and lattices of points in the minkowski plane
title Curves and lattices of points in the minkowski plane
spellingShingle Curves and lattices of points in the minkowski plane
Integral formula
bounded convex sets
lattice points
Minkowski plane
tools
differential geometry
drawing tangents theorem
curves Euclid
title_short Curves and lattices of points in the minkowski plane
title_full Curves and lattices of points in the minkowski plane
title_fullStr Curves and lattices of points in the minkowski plane
title_full_unstemmed Curves and lattices of points in the minkowski plane
title_sort Curves and lattices of points in the minkowski plane
dc.creator.fl_str_mv Peri, Carla
dc.contributor.author.spa.fl_str_mv Peri, Carla
dc.subject.proposal.spa.fl_str_mv Integral formula
bounded convex sets
lattice points
Minkowski plane
tools
differential geometry
drawing tangents theorem
curves Euclid
topic Integral formula
bounded convex sets
lattice points
Minkowski plane
tools
differential geometry
drawing tangents theorem
curves Euclid
description The main goal of this work is to derive an integral formula refering to bounded convex sets (section 3), in order to obtain some results involving lattices of points in the Minkowski plane (seccion 4). To prove such a formula it is necessary to develop some tools of differential geometry in the large. This is done in section 2, where the turning tangents theorem for Euclidean curves is carried over to Minkowski plane.
publishDate 1991
dc.date.issued.spa.fl_str_mv 1991
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:56:40Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:56:40Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43411
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33509/
url https://repositorio.unal.edu.co/handle/unal/43411
http://bdigital.unal.edu.co/33509/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33373
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 17-34 0034-7426
dc.relation.references.spa.fl_str_mv Peri, Carla (1991) Curves and lattices of points in the minkowski plane. Revista Colombiana de Matemáticas; Vol. 25, núm. 1-4 (1991); 17-34 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv 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
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43411/1/33373-123768-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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