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G2-structures with torsion from half-integrable nilmanifolds

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  • Simon G. Chiossi, University of Southern Denmark
  • ,
  • Andrew Swann

The equations for a G2-structure with torsion on a product M7 = N6 × S1 are studied in relation to the induced SU(3)-structure on N6. All solutions are found in the case when the Lee-form of the G2-structure is non-zero and N6 is a six-dimensional nilmanifold with half-integrable SU(3)-structure. Special properties of the torsion of these solutions are discussed.

Original languageEnglish
JournalJournal of Geometry and Physics
Pages (from-to)262-285
Number of pages24
Publication statusPublished - 1 Jul 2005
Externally publishedYes

    Research areas

  • G-structure, Half-integrable SU(3)-structure, Nilmanifold, Torsion connection

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