1 Ocak 2010 Dergi makalesi Açık Erişim

Acik, O.; Ertem, U.; Onder, M.; Vercin, Abdullah

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{
  "@context": "https://schema.org/", 
  "@id": 26643, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Ankara Univ, Fac Sci, Dept Phys, TR-06100 Tandogan, Turkey", 
      "name": "Acik, O."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Ankara Univ, Fac Sci, Dept Phys, TR-06100 Tandogan, Turkey", 
      "name": "Ertem, U."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Hacettepe Univ, Dept Engn Phys, TR-06532 Beytepe, Turkey", 
      "name": "Onder, M."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Ankara Univ, Fac Sci, Dept Phys, TR-06100 Tandogan, Turkey", 
      "name": "Vercin, Abdullah"
    }
  ], 
  "datePublished": "2010-01-01", 
  "description": "It has been shown that for each Killing-Yano (KY)-form accepted by an n-dimensional (pseudo)Riemannian manifold of arbitrary signature, two different gravitational currents can be defined. Conservation of the currents are explicitly proved by showing co-exactness of the one and co-closedness of the other. Some general geometrical facts implied by these conservation laws are also elucidated. In particular, the conservation of the one-form currents implies that the scalar curvature of the manifold is a flow invariant for all of its Killing vector fields. It also directly follows that, while all KY-forms and their Hodge duals on a constant curvature manifold are the eigenforms of the Laplace-Beltrami operator, for an Einstein manifold this is certain only for KY 1-forms, (n - 1)-forms and their Hodge duals.", 
  "headline": "Basic gravitational currents and Killing-Yano forms", 
  "identifier": 26643, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Basic gravitational currents and Killing-Yano forms", 
  "url": "https://aperta.ulakbim.gov.tr/record/26643"
}