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- W3199806971 abstract "Let $(varphi_alpha,xi_alpha,g)$ for $alpha=1,2$, and $3$ be a contact metric $3$-structure on the manifold $M^{4n+3}$. We show that the $3$-contact distribution of this structure admits a HyperKahler structure whenever $(M^{4n+3},varphi_alpha,xi_alpha,g)$ is a $3$-Sasakian manifold. In this case, we call it HyperKahler contact distribution. To analyze the curvature properties of this distribution, we define a special metric connection that is completely determined by the HyperKahler contact distribution. We prove that the $3$-Sasakian manifold is of constant $varphi_{alpha}$-sectional curvatures if and only if its HyperKahler contact distribution has constant holomorphic sectional curvatures." @default.
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- W3199806971 date "2021-09-11" @default.
- W3199806971 modified "2023-09-27" @default.
- W3199806971 title "HyperKahler Contact Distributions" @default.
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