Local theory of \(Z\)-transitive geometric structures. (English. Russian original) Zbl 0841.53026

Sib. Math. J. 34, No. 2, 251-262 (1993); translation from Sib. Mat. Zh. 34, No. 2, 62-73 (1993).
Let \({\mathcal B} = \{G,V,B,\omega\}\) be a \(G\)-structure and \(N \subset \text{Aut }V\) be an arbitrary Lie subgroup. Any structure \(\mathcal B\) whose space is homogeneous with respect to the group \(N \text{Aut }{\mathcal B}\) of \(N\)-automorphisms is said to be \(N\)-transitive.
In a previous paper the author developed a theory of a \(N\)-transitive structures in the case when \(G \subset N\). In this paper he takes the case when \(N\) is contained in the centralizer \(Z(G)\) of the group \(G\).


53C10 \(G\)-structures
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