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SUMMARY:Marcos Origlia (Universidad Nacional de Córdoba)
DTSTART:20220629T220000Z
DTEND:20220629T230000Z
DTSTAMP:20260423T021359Z
UID:VSGS/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/56/">Co
 nformal Killing Yano $2$-forms on Lie groups</a>\nby Marcos Origlia (Unive
 rsidad Nacional de Córdoba) as part of Virtual seminar on geometry with s
 ymmetries\n\n\nAbstract\nA differential $p$-form $\\eta$ on a $n$-dimensio
 nal Riemannian manifold $(M\,g)$ is called Conformal Killing Yano (CKY for
  short) if it satisfies for any vector field $X$ the following equation\n$
 $\\nabla_X  \\eta=\\dfrac{1}{p+1}\\iota_X\\mathrm{d}\\eta-\\dfrac{1}{n-p+1
 }X^*\\wedge \\mathrm{d}^*\\eta\,$$\nwhere $X^*$ is the dual 1-form of $X$\
 ,  $\\mathrm{d}^*$ is the codifferential\, $\\nabla$ is the Levi-Civita co
 nnection associated to $g$ and $\\iota_X$ is the interior product with $X$
 . If $\\eta$ is coclosed ($\\mathrm d^*\\eta=0$) then $\\eta$ is said to b
 e a Killing-Yano  $p$-form (KY for short).\n\nWe study left invariant Conf
 ormal Killing Yano $2$-forms on Lie groups endowed with a left invariant m
 etric. We determine\, up to isometry\, all $5$-dimensional metric Lie alge
 bras under certain conditions\, admitting a CKY $2$-form. Moreover\, a cha
 racterization of all possible CKY tensors on those metric Lie algebras is 
 exhibited.\n
LOCATION:https://researchseminars.org/talk/VSGS/56/
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