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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.
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.
Gadea, P. M., Oubiña, J. A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Karlıǧa, Baki (1996)
Beiträge zur Algebra und Geometrie
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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).
Bercu, Gabriel (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Jan Peleska (1984)
Aequationes mathematicae
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Katsumi Nomizu, Kentaro Yano (1974)
Mathematische Annalen
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Mehmet Bektaş, Mahmut Ergüt (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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