Examples of deformations of nearly parallel \(G_2\) structures on 7-dimensional 3-Sasakian manifolds by characteristic vector fields (Q2927991)
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scientific article; zbMATH DE number 6366149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Examples of deformations of nearly parallel \(G_2\) structures on 7-dimensional 3-Sasakian manifolds by characteristic vector fields |
scientific article; zbMATH DE number 6366149 |
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5 November 2014
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\(G_{2}\) structure
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\(3\)-Sasakian manifold
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Examples of deformations of nearly parallel \(G_2\) structures on 7-dimensional 3-Sasakian manifolds by characteristic vector fields (English)
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The authors consider \(\varphi _{1},\varphi _{2}\) and \(\varphi _{3}\) of nearly parallel \(G_{2}\) structures on a \(7\)-dimensional \(3\)-Sasakian manifold defined in [\textit{I. Agricola} and \textit{T. Friedrich}, J. Geom. Phys. 60, No. 2, 326--332 (2010; Zbl 1188.53041)]. They deform \(\varphi _{1},\varphi _{2}\) and \(\varphi _{3}\) by characteristic vector fields \(\xi _{1},\xi _{2}\) and \(\xi _{3}\). Then they obtain new \(G_{2}\) structures.
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