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  A characterization of compact locally conformally hyperkähler manifolds

Ornea, L., & Otiman, A. (2019). A characterization of compact locally conformally hyperkähler manifolds. Annali di Matematica Pura ed Applicata, 198(5), 1541-1549. doi:10.1007/s10231-019-00829-w.

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 Creators:
Ornea, Liviu, Author
Otiman, Alexandra1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Differential Geometry
 Abstract: We give an equivalent definition of compact locally conformally hyperkähler manifolds in terms of the existence of a nondegenerate 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 9
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 Table of Contents: -
 Rev. Type: Peer
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Title: Annali di Matematica Pura ed Applicata
  Abbreviation : Ann. Mat. Pura Appl.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 198 (5) Sequence Number: - Start / End Page: 1541 - 1549 Identifier: -