3 papers
math.AT2025
The Yang indices of Grassmannians
James Dibble
An elementary combinatorial technique for computing lower bounds for the Yang indices of real Stiefel manifolds and oriented real Grassmannians is described. As a demonstration, it…
math.DG2018
Totally geodesic maps into manifolds with no focal points
James Dibble
The set of totally geodesic representatives of a homotopy class of maps from a compact Riemannian manifold with nonnegative Ricci curvature into a complete Riemannian manifold…
math.DG2018
Central splitting of manifolds with no conjugate points
James Dibble
Each compact Riemannian manifold with no conjugate points admits a family of functions whose integrals vanish exactly when central Busemann functions split linearly. These function…