References & Citations
Mathematics > Differential Geometry
Title: Geometry of paraquaternionic contact structures
(Submitted on 25 Apr 2024 (v1), last revised 2 May 2024 (this version, v2))
Abstract: We introduce the notion of paraquaternionic contact structures (pqc structures), which turns out to be a generalization of the para 3-Sasakian geometry. We derive a distinguished linear connection preserving the pqc structure. Its torsion tensor is expressed explicitly in terms of the structure tensors and the structure equations of a pqc manifold are presented. We define pqc-Einstein manifolds and show that para 3-Sasakian spaces are precisely pqc manifolds, which are pqc-Einstein. Furthermore, we introduce the paraquaternionic Heisenberg qroup and show that it is the flat model of the pqc geometry.
Submission history
From: Stefan Ivanov [view email][v1] Thu, 25 Apr 2024 16:22:44 GMT (37kb)
[v2] Thu, 2 May 2024 08:53:17 GMT (34kb)
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