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  • In this note we classify all homogeneous spaces G/H admitting a G-invariant G(2)-structure, assuming that G is a connected compact Lie group and G acts effectively on G/H. They include a subclass of all homogeneous spaces G/H with a G-invariant G(2)-structure, where G is a compact Lie group. There are many new examples with nontrivial fundamental group. We study a subclass of homogeneous spaces of high rigidity and low rigidity and show that they admit families of invariant coclosed G(2)-structures (respectively G(2)-structures).
  • In this note we classify all homogeneous spaces G/H admitting a G-invariant G(2)-structure, assuming that G is a connected compact Lie group and G acts effectively on G/H. They include a subclass of all homogeneous spaces G/H with a G-invariant G(2)-structure, where G is a compact Lie group. There are many new examples with nontrivial fundamental group. We study a subclass of homogeneous spaces of high rigidity and low rigidity and show that they admit families of invariant coclosed G(2)-structures (respectively G(2)-structures). (en)
Title
  • Classification of compact homogeneous spaces with invariant G(2)-structures
  • Classification of compact homogeneous spaces with invariant G(2)-structures (en)
skos:prefLabel
  • Classification of compact homogeneous spaces with invariant G(2)-structures
  • Classification of compact homogeneous spaces with invariant G(2)-structures (en)
skos:notation
  • RIV/67985840:_____/12:00380315!RIV13-AV0-67985840
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  • I, P(IAA100190701)
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  • 127366
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  • RIV/67985840:_____/12:00380315
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  • compact homogeneous space; G(2)-structure (en)
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  • DE - Spolková republika Německo
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  • [823BC6CDFFAA]
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  • Advances in Geometry
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  • 12
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  • Le, Hong-Van
  • Munir, M.
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  • 000303605500007
issn
  • 1615-715X
number of pages
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  • 10.1515/10.1515/advgeom.2011.054
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