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).
Keli Zheng, Liangyun Chen, Yongzheng Zhang (2014)
Colloquium Mathematicae
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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.
Bernard Gaveau, Jerzy Kalina, Julian Lawrynowicz, Leszek Wojtczak (1985)
Annales Polonici Mathematici
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Nikić, Jovanka (1997)
Matematichki Vesnik
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Gadea, P. M., Oubiña, J. A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Bayram Ṣahin (2011)
Annales Polonici Mathematici
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We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.
Labbi, M.-L. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Masami Sekizawa (1987)
Časopis pro pěstování matematiky
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Michael Eastwood, Katharina Neusser (2016)
Archivum Mathematicum
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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.
Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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