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Potential 1-forms for hyper-Kähler structures with torsion

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  • Liviu Ornea, University of Bucharest
  • ,
  • Yat Sun Poon, University of California at Riverside
  • ,
  • Andrew Swann

It is shown that an HKT space with closed parallel potential 1-form has D(2,1; -1) symmetry. Every locally conformally hyper-Kähler manifold generates this type of geometry. The HKT spaces with closed parallel potential 1-form arising in this way are characterized by their symmetries and an inhomogeneous cubic condition on their torsion.

Original languageEnglish
JournalClassical and Quantum Gravity
Pages (from-to)1845-1856
Number of pages12
Publication statusPublished - 7 May 2003
Externally publishedYes

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