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Curvatures of the diagonal lift from an affine manifold to the linear frame bundle

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Kowalski O., Sekizawa M.

Open Mathematics

2012

tom 10

nr 3

837-843

We investigate the curvature of the so-called diagonal lift from an affine manifold to the linear frame bundle LM. This is an affine analogue (but not a direct generalization) of the Sasaki-Mok metric on LM investigated by L.A. Cordero and M. de León in 1986. The Sasaki-Mok metric is constructed over a Riemannian manifold as base manifold. We receive analogous and, surprisingly, even stronger results in our affine setting.

Ograniczanie wyników

1 Open Mathematics

1 Kowalski O.

1 Sekizawa M.

1 2012

Wyniki wyszukiwania

Curvatures of the diagonal lift from an affine manifold to the linear frame bundle