Elements of infinitesimal Riemannian geometry. (Éléments de géométrie riemannienne infinitésimale.)
Costinescu, Cristian N. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “A canonical connection on sub-Riemannian contact manifolds”
Elements of infinitesimal Riemannian geometry. (Éléments de géométrie riemannienne infinitésimale.)
Some Results Related to the Equivalence Problem in Riemannian Geometry.
Katsumi Nomizu, Kentaro Yano (1967)
Mathematische Zeitschrift
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A finiteness theorem for Riemannian submersions
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.
Anti-invariant Riemannian submersions from almost Hermitian manifolds
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...
On a Riemannian space of class one and its associated space
R. K. Garai (1972)
Matematički Vesnik
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The revival of the Riemannian approach to integration
Jaroslav Kurzweil (2004)
Banach Center Publications
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Riemannian convexity.
Udrişte, Constantin (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Semi-slant Riemannian maps into almost Hermitian manifolds
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...
On two natural Riemannian metrics on a tube.
Labbi, M.-L. (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Erratum to the paper "A finiteness theorem for Riemannian submersions" (Ann. Polon. Math. 57 (1992), 283-290)
Paweł G. Walczak (1993)
Annales Polonici Mathematici
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Biharmonic Riemannian maps
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.
A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold
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).