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

Eni, Cristian

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Tangent sphere bundles of natural diagonal lift type.

Druţă, S.L., Oproiu, V. (2010)

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On the Killing tensor fields on a compact Riemannian manifold.

Tsagas, Grigorios (1996)

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

Druţă, Simona-Luiza (2009)

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On Riemannian tangent bundles.

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

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Derivational formulas of a submanifold of a generalized Riemannian space.

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On the geometry of frame bundles

Kamil Niedziałomski (2012)

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Let $(M, g)$ be a Riemannian manifold, $L (M)$ its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle $T M$ . We compute the Levi–Civita connection and curvatures of these metrics.

Quaternionic-Kähler geometry and almost Kähler A-manifolds

Włodzimierz Jelonek (2000)

Annales Polonici Mathematici

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The aim of this paper is to give an easy explicit description of 3-K-contact structures on certain SO(3)-principal fibre bundles over quaternionic-Kähler manifolds.

Non-Riemannian gravitational interactions

Robin Tucker, Charles Wang (1997)

Banach Center Publications

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Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita...

On Riemannian manifolds whose tangent sphere bundles can have nonnegative sectional curvature.

Kowalski, Oldřich, Sekizawa, Masami (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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