3 citations · 4 across the 9 of their papers we have counts for
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Abelian subgroups of the fundamental group of a space with no conjugate points
James Dibble
Each Abelian subgroup of the fundamental group of a compact and locally simply connected -dimensional length space with no conjugate points is isomorphic to for s…
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…
Energy-minimizing maps from manifolds with nonnegative Ricci curvature
James Dibble
The energy of any representative of a homotopy class of maps from a compact and connected Riemannian manifold with nonnegative Ricci curvature into a complete Riemannian mani…
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…