D. V. Alekseevsky, C. Medori, and A. Tomassini, Homogeneous para-K??hler Einstein manifolds, Russian Mathematical Surveys, vol.64, issue.1, pp.1-43, 2009.
DOI : 10.1070/RM2009v064n01ABEH004591

URL : http://arxiv.org/abs/0806.2272

H. Anciaux, Minimal submanifolds in pseudo-Riemannian geometry, World Scientific, 2010.
DOI : 10.1142/7542

H. Anciaux, B. Guilfoyle, and P. Romon, Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface, Journal of Geometry and Physics, vol.61, issue.1, pp.237-247, 2011.
DOI : 10.1016/j.geomphys.2010.09.017

URL : https://hal.archives-ouvertes.fr/hal-00333742

A. L. Besse, Einstein manifolds, Classics in Mathematics

E. Boeckx and L. Vanhecke, Geometry of Riemannian manifolds and their unit tangent sphere bundles, Publ. Math. Debrecen, vol.57, pp.3-4, 2000.

A. Derdzi´nskiderdzi´nski, Self-dual Kähler manifolds and Einstein manifolds of dimension four, Compositio Math, vol.49, issue.3, pp.405-433, 1983.

P. Dombrowski, On the geometry of the tangent bundle, J. Reine Angew. Math, vol.210, pp.73-88, 1962.

M. Dunajski and S. West, Anti-Self-Dual Conformal Structures in Neutral Signature, in Recent developments in pseudo-Riemannian Geometry, ESI-Series on Mathematics and Physics, 2008.

S. Gudmundsson and E. Kappos, On the geometry of tangent bundles, Expositiones Mathematicae, vol.20, issue.1, pp.1-41, 2002.
DOI : 10.1016/S0723-0869(02)80027-5

B. Guilfoyle and W. Klingenberg, An Indefinite K??hler Metric on the Space of Oriented Lines, Journal of the London Mathematical Society, vol.72, issue.2, pp.497-509, 2005.
DOI : 10.1112/S0024610705006605

B. Guilfoyle and W. Klingenberg, On area-stationary surfaces in certain neutral Kaehler 4-manifolds, Beiträge Algebra Geom, pp.481-490, 2008.

O. Kowalski, Curvature of the induced Riemannian metric on the tangent bundle, J. Reine Angew. Math, vol.250, pp.124-129, 1971.

J. Lafontaine, Some relevant Riemannian geometry, in Holomorphic curves in symplectic geometry, 1994.

L. Lempert and R. Szöke, The Tangent Bundle of an Almost Complex Manifold, Bulletin canadien de math??matiques, vol.44, issue.1, pp.70-79, 2001.
DOI : 10.4153/CMB-2001-008-6

E. Musso and F. Tricerri, Riemannian metrics on tangent bundles, Annali di Matematica Pura ed Applicata, vol.13, issue.1, pp.1-20, 1988.
DOI : 10.1007/BF01761461

K. Yano and S. Ishihara, Tangent and cotangent bundles: differential geometry, 1973.