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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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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N. Abe, Y. Nakanishi, S. Yamagushi (1990)
Aequationes mathematicae
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P.M. Gadea, J.A. Oubina (1997)
Monatshefte für Mathematik
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Pyo, Yong-Soo, Lee, Joo-Yeon (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Kanak Kanti Baishya, Patrik Peška (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the present paper we have obtained a new example of non-Ricci-flat almost pseudo-Z-symmetric manifolds in the class of equidistant spaces, which admit non-trivial geodesic mappings.
J. Lawrynowicz, W. Waliszewski (1971)
Mathematica Scandinavica
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Norio Hashimoto, Masami Sekizawa (2000)
Archivum Mathematicum
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An explicit classification of the spaces in the title is given. The resulting spaces are locally products or locally warped products of the real line and two-dimensional spaces of constant curvature.
K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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H. B. Potoczny (1984)
Matematički Vesnik
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