Journal•ISSN: 0387-3870
Tokyo Journal of Mathematics
About: Tokyo Journal of Mathematics is an academic journal. The journal publishes majorly in the area(s): Scalar curvature & Sectional curvature. It has an ISSN identifier of 0387-3870. Over the lifetime, 1145 publication(s) have been published receiving 10267 citation(s).
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TL;DR: In this article, Boyer and Galicki introduced a contact reduction method in the context of Sasakian manifolds, which produces 5-dimentional Sasaki-Einstein manifolds from a 7-sphere.
Abstract: In [9], Boyer and Galicki introduced a contact reduction method in the context of Sasakian manifolds, which produces 5-dimentional Sasaki-Einstein manifolds from a 7-sphere. In this paper, we compute very explicitly the metric obtained from the above mentioned reduction via a projection, $S^3 \times S^3 \to S^2 \times S^3$, and show that this metric is the homogeneous Kobayashi-Tanno metric.
154 citations