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20142026
most citedTotally geodesic maps into manifolds with no focal points

3 citations · 4 across the 9 of their papers we have counts for

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math.DG2026

Mean curvature and closed geodesics in convex hypersurfaces

James Dibble, Joseph Ansel Hoisington

We give a sharp lower bound for the total mean curvature of a convex hypersurface in Euclidean space in terms of the length of a shortest nontrivial closed geodesic, generalizing a…

math.DG2026

Area and antipodal distance in convex hypersurfaces

James Dibble, Joseph Hoisington

We establish a lower bound for the surface area of a closed, convex hypersurface in Euclidean space in terms of its displacement under continuous maps. As a result, a hypothesized…