Pseudo-Riemannian structures with the same connection.

Bercu, Gabriel

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

Neculai Papaghiuc (2001)

Colloquium Mathematicae

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We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).

Uniqueness of decomposition of pseudo-Riemannian superalgebras

Keli Zheng, Liangyun Chen, Yongzheng Zhang (2014)

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This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.

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Labbi, M.-L. (2007)

Balkan Journal of Geometry and its Applications (BJGA)

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We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.

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Pseudo-metrizability of quotient spaces

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