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HyperKahler contact Distribution in 3-Sa...
Rezaii, M. M....

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HyperKahler contact Distribution in 3-Sasakain Manifolds by Rezaii, M. M. ( Author )
Lemonjar Open Access
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02-08-2023
In this paper, the HyperKahler contact distribution of a 3-Sasakian manifold is studied. To analyze the curvature properties of this distribution, the special metric connection $\bar{\nabla}$ is defined. This metric connection is completely determined by HyperKahler contact distribution. We prove that HyperKahler contact distribution is of constant holomorphic sectional curvatures if and only if its 3-Sasakian manifold is of constant $\varphi_{\alpha}$-sectional curvatures. Moreover, it is shown that there is an interesting relation between the sectional curvatures of $\varphi_{\alpha}$-planes on $TM$ of metric connection $\bar{\nabla}$ and the Levi-Civita connection.
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Article
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30.00 KB
English
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MYR 0.01
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http://arxiv.org/abs/1204.3407
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