On a Riemannian space of class one and its associated space
R. K. Garai (1972)
Matematički Vesnik
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R. K. Garai (1972)
Matematički Vesnik
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Jaroslav Kurzweil (2004)
Banach Center Publications
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Kowalski, Oldřich, Nikčević, Stana Ž. (1998)
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Wiesław Grycak, Marian Hotloś (1982)
Colloquium Mathematicae
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A. Nabutovsky (1996)
Geometric and functional analysis
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Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Paweł G. Walczak (1992)
Annales Polonici Mathematici
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Given some geometric bounds for the base space and the fibres, there is a finite number of conjugacy classes of Riemannian submersions between compact Riemannian manifolds.
Jürgen Jost, Lutz Habermann (1996)
Manuscripta mathematica
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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...
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).
Konstantin Athanassopoulos (2009)
Colloquium Mathematicae
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We present an explicit formula for the Ruelle rotation of a nonsingular Killing vector field of a closed, oriented, Riemannian 3-manifold, with respect to Riemannian volume.
Miomir Stanković, Svetislav Minčić (2000)
Publications de l'Institut Mathématique
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Kwang-Soon Park, Bayram Şahin (2014)
Czechoslovak Mathematical Journal
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We introduce semi-slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of semi-slant immersions, invariant Riemannian maps, anti-invariant Riemannian maps and slant Riemannian maps. We obtain characterizations, investigate the harmonicity of such maps and find necessary and sufficient conditions for semi-slant Riemannian maps to be totally geodesic. Then we relate the notion of semi-slant Riemannian maps to the notion of pseudo-horizontally...