Some almost paracomplex structures on the tangent bundle with vertical rescaled Berger deformation metric. (English) Zbl 1478.53058
Summary: In the present paper, we study some almost paracomplex structures on the tangent bundle with vertical rescaled Berger deformation metric and search conditions for these structures to be anti-paraKähler, quasi-anti-paraKähler.
MSC:
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 53C20 | Global Riemannian geometry, including pinching |
| 53C55 | Global differential geometry of Hermitian and Kählerian manifolds |
| 53B35 | Local differential geometry of Hermitian and Kählerian structures |
Keywords:
horizontal lift and vertical lift; tangent bundles; vertical rescaled Berger deformation metric; almost paracomplex structure; anti-paraHermitian metricReferences:
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