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Sasaki-like almost contact complex Riemannian manifolds

Authors
  • Ivanov, Stefan
  • Manev, Hristo
  • Manev, Mancho
Type
Published Article
Publication Date
Feb 21, 2014
Submission Date
Feb 21, 2014
Identifiers
DOI: 10.1016/j.geomphys.2016.05.009
Source
arXiv
License
Yellow
External links

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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