Weyl-parallel forms, conformal products and Einstein-Weyl manifolds

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Autor/in:
Erscheinungsjahr:
2011
Medientyp:
Text
Schlagworte:
  • Conformal products
  • Conformally parallel forms
  • Reducible holonomy
  • Weyl structures
Beschreibung:
  • Motivated by the study of Weyl structures on conformal manifolds admitting parallel weightless forms, we define the notion of conformal product of conformal structures and study its basic properties. We obtain a classification of Weyl manifolds carrying parallel forms, and we use it to investigate the holonomy of the adapted Weyl connection on conformal products. As an application we describe a new class of Einstein-Weyl manifolds of dimension 4. © 2011 International Press.
Lizenz:
  • info:eu-repo/semantics/openAccess
Quellsystem:
Forschungsinformationssystem der UHH
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Quelldatensatz
oai:www.edit.fis.uni-hamburg.de:publications/9da7bbde-7328-40b5-bbff-4558dd0ddfc5