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

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

2008-04-24

arxiv.org/abs/0804.3889v1

Mathematics

Differential Geometry

23 pages

Scientific paper

We prove that a compact quaternionic-K\"{a}hler manifold of dimension $4n\geq
8$ admitting a conformal-Killing 2-form which is not Killing, is isomorphic to
the quaternionic projective space, with its standard quaternionic-K\"{a}hler
structure.

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