Closed G2-Structures on Unimodular Lie Algebras with Non-trivial Center
نویسندگان
چکیده
We characterize the structure of a seven-dimensional Lie algebra with non-trivial center endowed closed G$_2$-structure. Using this result, we classify all unimodular algebras admitting G$_2$-structures, up to isomorphism, and show that six them arise as contactization symplectic algebra. Finally, prove every semi-algebraic soliton on must be expanding, determine dimension at least two admit solitons, isomorphism.
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-021-09683-8