Classification of compact homogeneous spaces with invariant G(2)-structures

0380315 - MÚ 2013 RIV DE eng J - Journal Article
Le, Hong-Van - Munir, M.
Classification of compact homogeneous spaces with invariant G(2)-structures.
Advances in Geometry. Roč. 12, č. 2 (2012), s. 303-328. ISSN 1615-715X. E-ISSN 1615-7168
R&D Projects: GA AV ČR IAA100190701
Institutional support: RVO:67985840
Keywords : compact homogeneous space * G(2)-structure
Subject RIV: BA - General Mathematics
Impact factor: 0.371, year: 2012
http://www.degruyter.com/view/j/advg.2012.12.issue-2/advgeom.2011.054/advgeom.2011.054.xml

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).
Permanent Link: http://hdl.handle.net/11104/0211053