Geodesic
Properties of Riemannian submersions on manifolds of nonnegative curvature
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and topology, Tome 197 (2021), pp. 101-107

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In this paper, submersions on manifolds of nonnegative curvature are constructed and properties of these submersions are examined. We prove that if a Riemannian submersion is defined over a flat manifold, then the manifold is isometric to the Euclidean space.
Mots-clés : submersion
Keywords: manifold, curvature. 
@article{INTO_2021_197_a11,
     author = {A. N. Zoyidov},
     title = {Properties of {Riemannian} submersions on manifolds of nonnegative curvature},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {101--107},
     publisher = {mathdoc},
     volume = {197},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_197_a11/}
}
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A. N. Zoyidov. Properties of Riemannian submersions on manifolds of nonnegative curvature. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and topology, Tome 197 (2021), pp. 101-107. http://geodesic.mathdoc.fr/item/INTO_2021_197_a11/