학술논문

Sasaki-like almost contact complex Riemannian manifolds
Document Type
Working Paper
Source
Journal of Geometry and Physics 107 (2016) 136-148
Subject
Mathematics - Differential Geometry
53C15, 53C25, 53C50
Language
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.
Comment: 19 pages