Outputs (15)

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.

Some new examples with almost positive curvature (2011)
Journal Article
Kerin, M. (2011). Some new examples with almost positive curvature. Geometry & Topology, 15(1), 217-260. https://doi.org/10.2140/gt.2011.15.217

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of nonnegatively curved manifolds which contain points at which all 2 –planes have positive curvature. We show that there are gener... Read More about Some new examples with almost positive curvature.

On the curvature of biquotients (2011)
Journal Article
Kerin, M. (2012). On the curvature of biquotients. Mathematische Annalen, 352(1), 155-178. https://doi.org/10.1007/s00208-011-0634-7

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain either a point or an open dense set of points at which all 2-planes have positive... Read More about On the curvature of biquotients.

Almost positive curvature on the Gromoll-Meyer sphere (2008)
Journal Article
Eschenburg, J.-H., & Kerin, M. (2008). Almost positive curvature on the Gromoll-Meyer sphere. Proceedings of the American Mathematical Society, 136(9), 3263-3270. https://doi.org/10.1090/s0002-9939-08-09429-x

Gromoll and Meyer have represented a certain exotic 7-sphere Σ7 as a biquotient of the Lie group G = Sp(2). We show for a 2-parameter family of left invariant metrics on G that the induced metric on Σ7 has strictly positive sectional curvature at all... Read More about Almost positive curvature on the Gromoll-Meyer sphere.

Homogeneous metrics on spheres (2003)
Report
Kerin, M., & Wraith, D. (2003). Homogeneous metrics on spheres. [No known commissioning body]