18 citations · 70 across the 19 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.DG2014★ 8 cited
Positive weighted sectional curvature
Lee Kennard, William Wylie
In this paper, we give a new generalization of positive sectional curvature called positive weighted sectional curvature. It depends on a choice of Riemannian metric and a smooth v…
math.DG2014★ 18 cited
Positive curvature and rational ellipticity
Manuel Amann, Lee Kennard
Simply-connected manifolds of positive sectional curvature are speculated to have a rigid topological structure. In particular, they are conjectured to be rationally elliptic,…
math.DG2014★ 5 cited
On a generalized conjecture of Hopf with symmetry
Manuel Amann, Lee Kennard
A famous conjecture of Hopf is that the product of the two-dimensional sphere with itself does not admit a Riemannian metric with positive sectional curvature. More generally, one…