Soft restrictions on positively curved Riemannian submersions
classification
🧮 math.DG
keywords
curveddimensionpositivelyriemanniansubmersionbaseboundclosed
read the original 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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