On two natural Riemannian metrics on a tube.
Labbi, M.-L. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Labbi, M.-L. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Bayram Ṣahin (2010)
Open Mathematics
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We introduce anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a Langrangian Riemannian submersion, a special anti-invariant Riemannian submersion, to be totally geodesic. Moreover, we obtain decomposition theorems for...
Kowalski, Oldřich, Nikčević, Stana Ž. (1998)
Beiträge zur Algebra und Geometrie
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Balkan Journal of Geometry and its Applications (BJGA)
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Mohamed Tahar Kadaoui Abbassi, Maâti Sarih (2005)
Archivum Mathematicum
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There is a class of metrics on the tangent bundle of a Riemannian manifold (oriented , or non-oriented, respectively), which are ’naturally constructed’ from the base metric [Kow-Sek1]. We call them “-natural metrics" on . To our knowledge, the geometric properties of these general metrics have not been studied yet. In this paper, generalizing a process of Musso-Tricerri (cf. [Mus-Tri]) of finding Riemannian metrics on from some quadratic forms on to find metrics (not necessary...