论文标题
肥胖的曲率方法
A curvature approach to fatness
论文作者
论文摘要
本文深入研究了里曼尼亚灌木丛中``脂肪捆绑''的概念。一个人探讨了脂肪里曼尼亚糊的结构含义,尤其是专注于具有非负分段曲率的那些。主要结果包括将纤维作为对称空间的分类,脂肪叶子在谎言组上的脂肪对应关系,以及与脂肪riemannian淹没有关的双重叶子的刚性。
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.