Generic Riemannian Submersions from Almost Product Riemannian
Mehmet Akif Akyol
Abstract
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Mehmet Akif Akyol
Abstract
Open-access reader
In this paper, we define and study generic Riemannian submersions from almost productRiemannian manifolds onto Riemannian manifolds. We give an example, investigate thegeometry of foliations which are arisen from the definition of a Riemannian submersion. We alsofind necessary and sufficient conditions for a generic Riemannian submersion to be totallygeodesic.
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In this paper, we define and study generic Riemannian submersions from almost productRiemannian manifolds onto Riemannian manifolds. We give an example, investigate thegeometry of foliations which are arisen from the definition of a Riemannian submersion. We alsofind necessary and sufficient conditions for a generic Riemannian submersion to be totallygeodesic.
Key concepts: Riemannian submersion, Riemannian geometry, Mathematics, Fundamental theorem of Riemannian geometry, Exponential map (Riemannian geometry), Pure mathematics, Product (mathematics), Submersion (mathematics)