On the geometry of frame bundles

Kamil Niedziałomski

Displaying similar documents to “On the geometry of frame bundles”

On Riemannian tangent bundles.

Al-Aqeel, Adnan, Bejancu, Aurel (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Invariance of $g$ -natural metrics on linear frame bundles

Oldřich Kowalski, Masami Sekizawa (2008)

Archivum Mathematicum

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In this paper we prove that each $g$ -natural metric on a linear frame bundle $L M$ over a Riemannian manifold $(M, g)$ is invariant with respect to a lifted map of a (local) isometry of the base manifold. Then we define $g$ -natural metrics on the orthonormal frame bundle $O M$ and we prove the same invariance result as above for $O M$ . Hence we see that, over a space $(M, g)$ of constant sectional curvature, the bundle $O M$ with an arbitrary $g$ -natural metric $\tilde{G}$ is locally homogeneous.

Tangent sphere bundles of natural diagonal lift type.

Druţă, S.L., Oproiu, V. (2010)

Balkan Journal of Geometry and its Applications (BJGA)

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Kähler-Einstein structures of general natural lifted type on the cotangent bundles.

Druţă, Simona-Luiza (2009)

Balkan Journal of Geometry and its Applications (BJGA)

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A pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold.

Eni, Cristian (2008)

Balkan Journal of Geometry and its Applications (BJGA)

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Displaying similar documents to “On the geometry of frame bundles”

On Riemannian tangent bundles.

Invariance of g -natural metrics on linear frame bundles

Tangent sphere bundles of natural diagonal lift type.

Kähler-Einstein structures of general natural lifted type on the cotangent bundles.

A pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold.

Invariance of $g$ -natural metrics on linear frame bundles