On the critical point structure of eigenfunctions belonging to the first nonzero eigenvalue of a genus two closed hyperbolic surface

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dc.citation.epage8spa
dc.citation.journalAbbreviatedTitlesjpspa
dc.citation.journalTitleScience Journal of Physicseng
dc.citation.journalTitleScience Journal of Physicsspa
dc.citation.spage1spa
dc.citation.volume2012spa
dc.contributor.authorCadavid, Carlos A.
dc.contributor.authorOsorno, María C.
dc.contributor.authorRuíz, Óscar E.
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-10-21T15:44:33Z
dc.date.available2016-10-21T15:44:33Z
dc.date.issued2012-05-30
dc.description.abstractWe develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold -- The method is applied to a closed hyperbolic surface of genus two -- The results obtained agree with the ones obtained by other authors by different methods, and they serve as experimental evidence supporting the conjectured fact that the generic eigenfunctions belonging to the first nonzero eigenvalue of a closed hyperbolic surface of arbitrary genus are Morse functions having the least possible total number of critical points among all Morse functions admitted by such manifoldseng
dc.formatapplication/pdfeng
dc.identifier.doi10.7237/sjp/128
dc.identifier.issn2276-6367
dc.identifier.urihttp://hdl.handle.net/10784/9530
dc.language.isoengeng
dc.relation.ispartofScience Journal of Physics, Volume 2012, pp 1-8spa
dc.relation.urihttp://www.sjpub.org/sjp/abstract/sjp-128.html
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.localAcceso abiertospa
dc.subject.keywordGraph theoryspa
dc.subject.keywordDifferential operatorsspa
dc.subject.keywordManifolds (Mathematics)spa
dc.subject.keywordFunctions of real variablesspa
dc.subject.keywordFunction generatorsspa
dc.subject.keywordLaplace transformationspa
dc.subject.keywordCritical point theory (mathematical analysis)spa
dc.subject.keywordMorse theoryspa
dc.subject.keywordGraph theoryeng
dc.subject.keywordDifferential operatorseng
dc.subject.keywordManifolds (Mathematics)eng
dc.subject.keywordFunctions of real variableseng
dc.subject.keywordFunction generatorseng
dc.subject.keywordLaplace transformationeng
dc.subject.keywordCritical point theory (mathematical analysis)eng
dc.subject.keywordMorse theoryeng
dc.subject.lembTEORÍA DE GRAFOSspa
dc.subject.lembOPERADORES DIFERENCIALESspa
dc.subject.lembVARIEDADES (MATEMÁTICAS)spa
dc.subject.lembFUNCIONES DE VARIABLE REALspa
dc.subject.lembGENERADORES DE FUNCIONESspa
dc.subject.lembTRANSFORMACIONES DE LAPLACEspa
dc.subject.lembTEORÍA DEL PUNTO CRÍTICO (ANÁLISIS MATEMÁTICO)spa
dc.subject.lembTEORÍA DE MORSEspa
dc.titleOn the critical point structure of eigenfunctions belonging to the first nonzero eigenvalue of a genus two closed hyperbolic surfaceeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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