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arXiv · 1704.00926

On the geometry of almost Golden Riemannian manifolds

Fernando Etayo·Rafael Santamaría·Abhitosh Upadhyay
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Abstract

An almost Golden Riemannian structure $(φ,g)$ on a manifold is given by a tensor field $φ$ of type (1,1) satisfying the Golden section relation $φ^{2}=φ+1$, and a pure Riemannian metric $g$, i.e., a metric satisfying $g(φX,Y)=g(X,φY)$. We study connections adapted to such a structure, finding two of them, the first canonical and the well adapted, which measure the integrability of $φ$ and the integrability of the $G$-structure corresponding to $(φ,g)$.

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Fernando Etayo, Rafael Santamaría, Abhitosh Upadhyay. 2017-04-04. On the geometry of almost Golden Riemannian manifolds. https://doi.org/10.1007/s00009-017-0991-x

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