Sasaki-like almost contact complex Riemannian manifolds
Copyright policy )Sasaki-like almost contact complex Riemannian manifolds
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.
19 pages
- Plovdiv University Bulgaria
- Institute of Mathematics and Informatics Bulgaria
- Sofia University Bulgaria
- Medical University Plovdiv Bulgaria
- University of Pennsylvania United States
Mathematics - Differential Geometry, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, holomorphic complex Riemannian manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), 53C15, 53C25, 53C50, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, almost contact complex Riemannian manifolds, \(S^1\)-solvable extension
Mathematics - Differential Geometry, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, holomorphic complex Riemannian manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), 53C15, 53C25, 53C50, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, almost contact complex Riemannian manifolds, \(S^1\)-solvable extension
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