González, David, Luis Guijarro
Abstract
We bound the dimension of the fiber of a Riemannian submersion from a positively curved manifold in terms of the dimension of the base of the submersion and either its conjugate radius or the length of its shortest closed geodesic.
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We bound the dimension of the fiber of a Riemannian submersion from a positively curved manifold in terms of the dimension of the base of the submersion and either its conjugate radius or the length of its shortest closed geodesic.
Key concepts: Riemannian submersion, Submersion (mathematics), Mathematics, Dimension (graph theory), Geodesic, Riemannian manifold, Mathematical analysis, Base (topology)