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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.

OriginalsprogEngelsk
TidsskriftClassical and Quantum Gravity
Vol/bind20
Nummer9
Sider (fra-til)1845-1856
Antal sider12
ISSN0264-9381
DOI
StatusUdgivet - 7 maj 2003
Eksternt udgivetJa

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