Outputs (2)

A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces (2012)
Journal Article
Kerin, M. (2013). A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces. Annals of Global Analysis and Geometry, 43(1), 63-73. https://doi.org/10.1007/s10455-012-9333-1

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 const... Read More about A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces.

Riemannian submersions from simple, compact Lie groups (2012)
Journal Article
Kerin, M., & Shankar, K. (2012). Riemannian submersions from simple, compact Lie groups. Münster journal of mathematics (Internet), 5(1), 25-40

In this paper we construct infinitely many examples of a Riemannian submersion from a simple, compact Lie group G with bi-invariant metric onto a smooth manifold that cannot be a quotient of G by a group action. This partially addresses a question of... Read More about Riemannian submersions from simple, compact Lie groups.