4 citations · 15 across the 18 of their papers we have counts for
3 papers · 1 filter
Diffusion Curvature for Estimating Local Curvature in High Dimensional Data
Dhananjay Bhaskar, Kincaid MacDonald, Oluwadamilola Fasina +4
We introduce a new intrinsic measure of local curvature on point-cloud data called diffusion curvature. Our measure uses the framework of diffusion maps, including the data diffusi…
Geodesic nets on flat spheres
Ian Adelstein, Elijah Fromm, Rajiv Nelakanti +2
We consider geodesic nets (critical points of a length functional on the space of embedded graphs) on doubled polygons (topological 2-spheres endowed with a flat metric away from f…
Besse projective spaces with many diameters
Ian Adelstein, Franco Vargas Pallete
It is known that Blaschke manifolds (where injectivity radius equals diameter) are Besse manifolds (where all geodesics are closed). We show that Besse manifolds with sufficiently…