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arXiv · 1402.5426

Sasaki-like almost contact complex Riemannian manifolds

Stefan Ivanov·Hristo Manev·Mancho Manev
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Abstract

A Sasaki-like almost contact complex Riemannian manifold is defined as an almost contact complex Riemannian manifold which complex cone is a holomorphic complex Riemannian manifold. Explicit compact and non-compact examples are given. A canonical construction producing a Sasaki-like almost contact complex Riemannian manifold from a holomorphic complex Riemannian manifold is presented and called an $S^1$-solvable extension.

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Stefan Ivanov, Hristo Manev, Mancho Manev. 2014-02-21. Sasaki-like almost contact complex Riemannian manifolds. https://doi.org/10.1016/j.geomphys.2016.05.009

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