关于Bazaikin空间到Bazaikin空间的全测地嵌入的注记
A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces
摘要：
本文证明了每个7维Bazaikin空间都可以完全测地线嵌入到无穷多个拓扑不同的13维Bazaikin空间中。此外，给出的例子表明，在已知的结构下，它并不总是可能完全测地线嵌入一个正曲率的Bazaikin空间到正曲率的Bazaikin空间。
英文摘要：
In this note it is shown that every 7-dimensional Eschenburg space can be totally geodesically embedded into infinitely many topologically distinct 13-dimensional Bazaikin spaces. Furthermore, examples are given which show that, under the known construction, it is not always possible to totally geodesically embed a positively curved Eschenburg space into a Bazaikin space with positive curvature.
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。
