We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a non-degenerate complex two-form with natural properties. This is a conformal analogue of Beauville’s theorem stating that a compact Kähler manifold admitting a holomorphic symplectic form is hyperkähler.
Ornea, L., Otiman, A. (2019). A characterization of compact locally conformally hyperkähler manifolds. ANNALI DI MATEMATICA PURA ED APPLICATA, 198(5), 1541-1549 [10.1007/s10231-019-00829-w].
A characterization of compact locally conformally hyperkähler manifolds
Ornea L.;Otiman A.
2019-01-01
Abstract
We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a non-degenerate complex two-form with natural properties. This is a conformal analogue of Beauville’s theorem stating that a compact Kähler manifold admitting a holomorphic symplectic form is hyperkähler.File in questo prodotto:
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