GOLDEN RIEMANNIAN STRUCTURES ON THE TANGENT BUNDLE WITH g-NATURAL METRICS
Abstract
Starting from the g-natural Riemannian metric G on the tangent bundle TM of a Riemannian
manifold ( M, g ) , we construct a family of the Golden Riemannian structures φ on the tangent bundle ( TM, G ) .
Then we investigate the integrability of such Golden Riemannian structures on the tangent bundle TM and
show that there is a direct correlation between the locally decomposable property of ( TM, φ, G ) and the locally
flatness of manifold ( M, g ) .
manifold ( M, g ) , we construct a family of the Golden Riemannian structures φ on the tangent bundle ( TM, G ) .
Then we investigate the integrability of such Golden Riemannian structures on the tangent bundle TM and
show that there is a direct correlation between the locally decomposable property of ( TM, φ, G ) and the locally
flatness of manifold ( M, g ) .
Refbacks
- There are currently no refbacks.