7 citations · 11 across the 6 of their papers we have counts for
7 papers
Attached Submanifolds Beyond Symmetric Spaces
Megan M. Kerr, Tracy L. Payne
We study submanifold geometry in the presence of symmetry, focusing on submanifolds of solvmanifolds with an unusual property relative to Ricci curvature. We generalize work of H.…
Homogeneous Einstein Metrics and Butterflies
Christoph Böhm, Megan M. Kerr
M.~M.~Graev associated in \cite{Gr} to a compact homogeneous space a nerve $\XGH$, whose non-contractibility implies the existence of a -invariant Einstein metric on …
New examples of non-symmetric Einstein solvmanifolds of negative Ricci curvature
Megan M. Kerr
We obtain new examples of non-symmetric Einstein solvmanifolds by combining two techniques. In \cite{T2}, H. Tamaru constructs new {\em attached} solvmanifolds, which are submanifo…
A note on quasi-positive curvature conditions
Megan M. Kerr, Kristopher Tapp
We classify the triples of nested compact Lie groups which satisfy the "positive triple" condition that was shown by the second author to ensure that …
Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions
Megan M. Kerr, Andreas Kollross
We consider invariant Riemannian metrics on compact homogeneous spaces G/H where an intermediate subgroup K between G and H exists, so that the homogeneous space G/H is the total s…
Nonnegatively curved homogeneous metrics in low dimensions
Megan M. Kerr, Andreas Kollross
We consider invariant Riemannian metrics on compact homogeneous spaces where an intermediate subgroup between and exists. In this case, the homogeneous space $G/H…