A characterization of quaternionic projective space by the conformal-Killing equation

• Autores: Liana David, Massimiliano Pontecorvo
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 2, 2009, págs. 326-340
• Idioma: inglés
• DOI: 10.1112/jlms/jdp023
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• Resumen

  • We prove that any compact, quaternionic-K¨ahler manifold of dimension 4n  8 admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-K¨ahler structure.