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A curvature approach to fatness
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This paper delves into the concept of “fat bundles” within Riemannian submersions. One explores the structural implications of fat Riemannian submersions, particularly focusing on those with non-negative sectional curvature. The main results include the classification of fibers as symmetric spaces, the isometric correspondence of fat foliations with coset foliations on Lie groups, and the rigidity of dual foliations associated with fat Riemannian submersions.
World Scientific Pub Co Pte Ltd
Title: A curvature approach to fatness
Description:
This paper delves into the concept of “fat bundles” within Riemannian submersions.
One explores the structural implications of fat Riemannian submersions, particularly focusing on those with non-negative sectional curvature.
The main results include the classification of fibers as symmetric spaces, the isometric correspondence of fat foliations with coset foliations on Lie groups, and the rigidity of dual foliations associated with fat Riemannian submersions.
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