# On the Geometry of Almost Golden Riemannian Manifolds

On the Geometry of Almost Golden Riemannian Manifolds An almost Golden Riemannian structure $$(\varphi ,g)$$ ( φ , g ) on a manifold is given by a tensor field $$\varphi$$ φ of type (1,1) satisfying the Golden section relation $$\varphi ^{2}=\varphi +1$$ φ 2 = φ + 1 , and a pure Riemannian metric g, i.e., a metric satisfying $$g(\varphi X,Y)=g(X,\varphi Y)$$ g ( φ X , Y ) = g ( X , φ Y ) . We study connections adapted to such a structure, finding two of them, the first canonical and the well adapted, which measure the integrability of $$\varphi$$ φ and the integrability of the G-structure corresponding to $$(\varphi ,g)$$ ( φ , g ) . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mediterranean Journal of Mathematics Springer Journals

# On the Geometry of Almost Golden Riemannian Manifolds

, Volume 14 (5) – Aug 14, 2017
14 pages

/lp/springer_journal/on-the-geometry-of-almost-golden-riemannian-manifolds-b7z21LF0Bj
Publisher
Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1660-5446
eISSN
1660-5454
D.O.I.
10.1007/s00009-017-0991-x
Publisher site
See Article on Publisher Site

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