On a Riemannian space of class one and its associated space
R. K. Garai (1972)
Matematički Vesnik
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Displaying similar documents to “A finiteness theorem for Riemannian submersions”
On a Riemannian space of class one and its associated space
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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...