A characterization of quaternionic projective space by the conformal-Killing equation
Differential Geometry
2014-02-26 v1
Abstract
We prove that a compact quaternionic-K\"{a}hler manifold of dimension 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.
Cite
@article{arxiv.0804.3889,
title = {A characterization of quaternionic projective space by the conformal-Killing equation},
author = {Liana David and Massimiliano Pontecorvo},
journal= {arXiv preprint arXiv:0804.3889},
year = {2014}
}
Comments
23 pages