vti_encoding:SR|utf8-nl vti_timelastmodified:TR|24 Jun 2013 20:45:44 -0000 vti_extenderversion:SR|12.0.0.0 vti_author:SR|SLMROBOT-87C0EC\\Sylvester vti_modifiedby:SR|Slim-PC\\SlimSly vti_timecreated:TR|23 Apr 2013 08:55:10 -0000 vti_title:SR|On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of A Genus Two Closed Hyperbolic Surface vti_backlinkinfo:VX| vti_cacheddtm:TX|24 Jun 2013 20:45:44 -0000 vti_filesize:IR|10069 vti_cachedtitle:SR|On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of A Genus Two Closed Hyperbolic Surface vti_cachedbodystyle:SR| vti_cachedlinkinfo:VX|H|favicon.ico Q|default.css Q|headerpicture.css S|images/sjp_logo.jpg A|search.php H|http://www.sjpub.org H|http://www.sjpub.org/journals.html H|http://www.sjpub.org/sjp.html H|http://www.sjpub.org/submit.html H|http://www.sjpub.org/sjeeditorial.html H|http://www.sjpub.org/aboutus.html H|http://www.sjpub.org/contactus.html H|http://creativecommons.org/licenses/by/3.0/ H|http://www.sjpub.org/sjp/sjp-128.pdf H|http://www.sjpub.org/sjp.html D|clsid:D27CDB6E-AE6D-11cf-96B8-444553540000 D|http://fpdownload.macromedia.com/pub/shockwave/cabs/flash/swflash.cab S|Journal-Cover.swf S|Journal-Cover.swf H|http://www.sjpub.org/sje-index.html H|http://www.sjpub.org/sje-bibliographic.html H|http://www.sjpub.org/sjp-aim.html H|http://www.sjpub.org/sjp.html H|http://www.sjpub.org/sjpeditorial.html H|http://www.sjpub.org/contactus.html H|http://www.sjpub.org/publishwithus.html H|http://www.sjpub.org/authorguide.html H|http://www.sjpub.org/submit.html H|http://www.sjpub.org/authorfaq.html H|http://www.sjpub.org/joineditors.html H|http://www.sjpub.org/joinreviewers.html H|http://www.sjpub.org/sitemap.html vti_cachedsvcrellinks:VX|NHUS|sjp/abstract/favicon.ico FQUS|sjp/abstract/default.css FQUS|sjp/abstract/headerpicture.css FSUS|sjp/abstract/images/sjp_logo.jpg NAUS|sjp/abstract/search.php NHHS|http://www.sjpub.org NHHS|http://www.sjpub.org/journals.html NHHS|http://www.sjpub.org/sjp.html NHHS|http://www.sjpub.org/submit.html NHHS|http://www.sjpub.org/sjeeditorial.html NHHS|http://www.sjpub.org/aboutus.html NHHS|http://www.sjpub.org/contactus.html NHHS|http://creativecommons.org/licenses/by/3.0/ NHHS|http://www.sjpub.org/sjp/sjp-128.pdf NHHS|http://www.sjpub.org/sjp.html NDUS|clsid:D27CDB6E-AE6D-11cf-96B8-444553540000 NDHS|http://fpdownload.macromedia.com/pub/shockwave/cabs/flash/swflash.cab FSUS|sjp/abstract/Journal-Cover.swf FSUS|sjp/abstract/Journal-Cover.swf NHHS|http://www.sjpub.org/sje-index.html NHHS|http://www.sjpub.org/sje-bibliographic.html NHHS|http://www.sjpub.org/sjp-aim.html NHHS|http://www.sjpub.org/sjp.html NHHS|http://www.sjpub.org/sjpeditorial.html NHHS|http://www.sjpub.org/contactus.html NHHS|http://www.sjpub.org/publishwithus.html NHHS|http://www.sjpub.org/authorguide.html NHHS|http://www.sjpub.org/submit.html NHHS|http://www.sjpub.org/authorfaq.html NHHS|http://www.sjpub.org/joineditors.html NHHS|http://www.sjpub.org/joinreviewers.html NHHS|http://www.sjpub.org/sitemap.html vti_cachedneedsrewrite:BR|false vti_cachedhasbots:BR|false vti_cachedhastheme:BR|false vti_cachedhasborder:BR|false vti_metatags:VR|HTTP-EQUIV=Content-Type text/html;\\ charset=iso-8859-1 citation_author Carlos\\ A.\\ Cadavid citation_author Maria\\ C.\\ Osorno citation_author Oscar\\ E.\\ Ruiz citation_title On\\ The\\ Critical\\ Point\\ Structure\\ of\\ Eigenfunctions\\ Belonging\\ to\\ the\\ First\\ Nonzero\\ Eigenvalue\\ of\\ A\\ Genus\\ Two\\ Closed\\ Hyperbolic\\ Surface citation_pdf_url http://www.sjpub.org/sjp/sjp-128.pdf citation_year 2012 citation_online_date 2012 citation_journal_title Science\\ Journal\\ of\\ Physics citation_abstract We\\ 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\\ manifolds. dc.rights http://creativecommons.org/licenses/by/3.0/ citation_volume 2012 citation_publisher Science\\ Journal\\ Publication citation_issn 2276-6367 citation_abstract_html_url http://www.sjpub.org/sjp/abstract/sjp-128.html vti_charset:SR|iso-8859-1