The curvature tensor of (κ,μ,ν)-contact metric manifolds

We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the definition and study of generalized (κ, µ, ν)-space forms and of the necessary and...

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Detalles Bibliográficos
Autores: Arslan, Kadri, Carriazo Rubio, Alfonso, Martín Molina, Verónica, Murathan, Cengizhan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47071
Acceso en línea:http://hdl.handle.net/11441/47071
https://doi.org/10.1007/s00605-015-0762-3
Access Level:acceso abierto
Palabra clave:(κ, µ, ν)-contact metric manifold
Generalized Sasakian space form
Generalized (κ, µ)-space form
Contact metric manifold
Da-homothetic deformation
Almost Kenmotsu manifold
Conformal flatness
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spelling The curvature tensor of (κ,μ,ν)-contact metric manifoldsArslan, KadriCarriazo Rubio, AlfonsoMartín Molina, VerónicaMurathan, Cengizhan(κ, µ, ν)-contact metric manifoldGeneralized Sasakian space formGeneralized (κ, µ)-space formContact metric manifoldDa-homothetic deformationAlmost Kenmotsu manifoldConformal flatnessWe study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the definition and study of generalized (κ, µ, ν)-space forms and of the necessary and sufficient conditions for them to be conformally flat.Ministerio de Educación y CienciaFondo Europeo de Desarrollo RegionalPlan Andaluz de Investigación (Junta de Andalucía)SpringerGeometría y TopologíaDidáctica de las MatemáticasFQM327: Geometria (Semi) Riemanniana y AplicacionesFQM226: Grupo de Investigacion en Educacion Matematica2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/47071https://doi.org/10.1007/s00605-015-0762-3reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMonatshefte für Mathematik, 177 (3), 331-344.MTM2007-61248FQM-327http://download.springer.com/static/pdf/807/art%253A10.1007%252Fs00605-015-0762-3.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00605-015-0762-3&token2=exp=1475739782~acl=%2Fstatic%2Fpdf%2F807%2Fart%25253A10.1007%25252Fs00605-015-0762-3.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00605-015-0762-3*~hmac=a9fec7e0e5ff6528a1d139602e0b821c7280c8191806baa8eeaab3d768ca05ddinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/470712026-06-17T12:51:07Z
dc.title.none.fl_str_mv The curvature tensor of (κ,μ,ν)-contact metric manifolds
title The curvature tensor of (κ,μ,ν)-contact metric manifolds
spellingShingle The curvature tensor of (κ,μ,ν)-contact metric manifolds
Arslan, Kadri
(κ, µ, ν)-contact metric manifold
Generalized Sasakian space form
Generalized (κ, µ)-space form
Contact metric manifold
Da-homothetic deformation
Almost Kenmotsu manifold
Conformal flatness
title_short The curvature tensor of (κ,μ,ν)-contact metric manifolds
title_full The curvature tensor of (κ,μ,ν)-contact metric manifolds
title_fullStr The curvature tensor of (κ,μ,ν)-contact metric manifolds
title_full_unstemmed The curvature tensor of (κ,μ,ν)-contact metric manifolds
title_sort The curvature tensor of (κ,μ,ν)-contact metric manifolds
dc.creator.none.fl_str_mv Arslan, Kadri
Carriazo Rubio, Alfonso
Martín Molina, Verónica
Murathan, Cengizhan
author Arslan, Kadri
author_facet Arslan, Kadri
Carriazo Rubio, Alfonso
Martín Molina, Verónica
Murathan, Cengizhan
author_role author
author2 Carriazo Rubio, Alfonso
Martín Molina, Verónica
Murathan, Cengizhan
author2_role author
author
author
dc.contributor.none.fl_str_mv Geometría y Topología
Didáctica de las Matemáticas
FQM327: Geometria (Semi) Riemanniana y Aplicaciones
FQM226: Grupo de Investigacion en Educacion Matematica
dc.subject.none.fl_str_mv (κ, µ, ν)-contact metric manifold
Generalized Sasakian space form
Generalized (κ, µ)-space form
Contact metric manifold
Da-homothetic deformation
Almost Kenmotsu manifold
Conformal flatness
topic (κ, µ, ν)-contact metric manifold
Generalized Sasakian space form
Generalized (κ, µ)-space form
Contact metric manifold
Da-homothetic deformation
Almost Kenmotsu manifold
Conformal flatness
description We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the definition and study of generalized (κ, µ, ν)-space forms and of the necessary and sufficient conditions for them to be conformally flat.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/47071
https://doi.org/10.1007/s00605-015-0762-3
url http://hdl.handle.net/11441/47071
https://doi.org/10.1007/s00605-015-0762-3
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Monatshefte für Mathematik, 177 (3), 331-344.
MTM2007-61248
FQM-327
http://download.springer.com/static/pdf/807/art%253A10.1007%252Fs00605-015-0762-3.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00605-015-0762-3&token2=exp=1475739782~acl=%2Fstatic%2Fpdf%2F807%2Fart%25253A10.1007%25252Fs00605-015-0762-3.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00605-015-0762-3*~hmac=a9fec7e0e5ff6528a1d139602e0b821c7280c8191806baa8eeaab3d768ca05dd
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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