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Classification of compact homogeneous spaces with invariant G(2)-structures
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SYSNO ASEP 0380315 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Classification of compact homogeneous spaces with invariant G(2)-structures Author(s) Le, Hong-Van (MU-W) RID, SAI, ORCID
Munir, M. (PK)Source Title Advances in Geometry - ISSN 1615-715X
Roč. 12, č. 2 (2012), s. 303-328Number of pages 26 s. Language eng - English Country DE - Germany Keywords compact homogeneous space ; G(2)-structure Subject RIV BA - General Mathematics R&D Projects IAA100190701 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Institutional support MU-W - RVO:67985840 UT WOS 000303605500007 EID SCOPUS 84859816542 DOI 10.1515/10.1515/advgeom.2011.054 Annotation 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). Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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