4 citations · 6 across the 4 of their papers we have counts for
5 papers
Splitting of torus representations and applications in the Grove symmetry program
Lee Kennard, Michael Wiemeler, Burkhard Wilking
A 1930s conjecture of Hopf states that an even-dimensional compact Riemannian manifold with positive sectional curvature has positive Euler characteristic. We prove this conjecture…
Halperin's conjecture in formal dimensions up to 20
Lee Kennard, Yantao Wu
A 1976 conjecture of Halperin on positively elliptic spaces was recently confirmed in formal dimensions up to 16. In this article, we shorten the proof and extend the result up to…
Cohomogeneity one manifolds with singly generated rational cohomology
Jason DeVito, Lee Kennard
We classify simply connected, closed cohomogeneity one manifolds with singly generated or 4-periodic rational cohomology and positive Euler characteristic.
The weighted connection and sectional curvature for manifolds with density
Lee Kennard, William Wylie, Dmytro Yeroshkin
In this paper we study sectional curvature bounds for Riemannian manifolds with density from the perspective of a weighted torsion free connection introduced recently by the last t…
Positively curved metrics on symmetric spaces with large symmetry rank
Lee Kennard
We prove an obstruction at the level of rational cohomology in small degrees to the existence of positively curved metrics with large symmetry rank. The symmetry rank bound is loga…