肥胖的拓扑障碍
Topological obstructions to fatness
摘要：
艾伦·温斯坦证明了具有全测地纤维和正垂向曲率的任何黎曼浸没的某些示性数是非零的。在本文中，我们明确计算这些不变量的陈和Pontrjagin数的丛。这使我们能够表明，许多捆绑包不承认这样的指标。
英文摘要：
Alan Weinstein showed that certain characteristic numbers of any Riemannian submersion with totally geodesic fibers and positive vertizontal curvatures are nonzero. In this paper we explicitly compute these invariants in terms of Chern and Pontrjagin numbers of the bundle. This allows us to show that many bundles do not admit such metrics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
