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Journal of the London Mathematical Society Advance Access published online on June 19, 2009
Journal of the London Mathematical Society, doi:10.1112/jlms/jdp023
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© 2009 London Mathematical Society

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

Liana David

Institute of Mathematics ‘Simion Stoilow’
Romanian Academy
Calea Grivitei nr. 21
Bucharest
Romania
liana.david@imar.ro

Massimiliano Pontecorvo

Dipartimento di Matematica
Università degli Studi ‘Roma Tre’
Largo S. L. Murialdo 1
00146 Roma
Italy

We prove that any compact, quaternionic-Kähler 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-Kähler structure.

2000 Mathematics Subject Classification 53C26 (primary), 53C28 (secondary).

This research was partially supported by CNCSIS (grants code no. 811 and ‘IDEI’ code no. 1187) and MIUR (Metriche Riemanniane e Varietà Differenziabili, PRIN 05).

Received May 6, 2008; revised December 17, 2008;
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