Invariant Conformal Killing–Yano 2-Forms on Five-Dimensional Lie Groups
نویسندگان
چکیده
We study left invariant conformal Killing–Yano (CKY) 2-forms on Lie groups endowed with a metric. classify all 5-dimensional metric algebras carrying CKY tensors that are obtained as one-dimensional central extension of 4-dimensional an invertible parallel skew-symmetric tensor. On the other hand, we also center dimension greater than one admitting strict tensors. In addition, determine possible these algebras. particular, exhibit first examples which do not admit any Sasakian structure.
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2022
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-022-00951-x