3 papers
math.DG2024
On comass and stable systolic inequalities
James J. Hebda, Mikhail G. Katz
We study the maximum ratio of the Euclidean norm to the comass norm of p-covectors in Euclidean n-space and improve the known upper bound found in the standard references by Whitne…
math.DG2022
Stronger Radial Attraction: A Generalization of Radial Curvature bounded from above
James J. Hebda, Yutaka Ikeda
This paper introduces and investigates a generalization of the notion of a pointed Riemannian manifold having its radial curvature bounded from above by that of a model surface of…
math.DG2018
Necessary and Sufficient Conditions for a Triangle Comparison Theorem
James J. Hebda, Yutaka Ikeda
We prove a version of Topogonov's triangle comparison theorem with surfaces of revolution as model spaces. Given a model surface and a Riemannian manifold with a fixed base point,…