References of "Transformation Groups"
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See detailDifferential graded Lie groups and their differential graded Lie algebras
Jubin, Benoît; Kotov, Alexei; Poncin, Norbert UL et al

in Transformation Groups (2022), 10.1007/s00031-021-09666-9

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See detailConformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds
Pecastaing, Vincent UL

in Transformation Groups (2019), 24(4), 1213-1239

Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest possible value for the ... [more ▼]

Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely, we determine the smallest possible value for the index min(p,q) of the metric. When the index is optimal and G non-exceptional, we prove that the metric must be conformally flat, confirming the idea that in a "good" dynamical context, a geometry is determined by its automorphisms group. This completes anterior investigations on pseudo-Riemannian conformal actions of semi-simple Lie groups of maximal real-rank. Combined with these results, we obtain as corollary the list of semi-simple Lie groups without compact factor that can act on compact Lorentzian manifolds. We also derive consequences in CR geometry via the Fefferman fibration. [less ▲]

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See detailLocally free sheaves on complex supermanifolds
Vishnyakova, Elizaveta UL

in Transformation Groups (2013), 18(2),

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See detailGeometric structures encoded in the Lie structure of an Atiyah algebroid
Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert UL

in Transformation Groups (2011), 16(1), 137--160

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