Abstract
We classify six-dimensional Lie groups which admit a left-invariant half-flat SU ( 3 ) -structure and which split in a direct product of three-dimensional factors. Moreover, a complete list of those direct products is obtained which admit a left-invariant half-flat SU ( 3 ) -structure such that the three-dimensional factors are orthogonal. Similar classification results are proved for left-invariant half-flat SL ( 3 , R ) -structures on direct products with either definite and orthogonal or isotropic factors.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
