Brian Seguin

collaborators

2 papers

math.DG2026

First variation of the fractional $k$ -dimensional measure: extending the concept of nonlocal curvature to submanifolds

Cornelia Mihaila, Brian Seguin

The fractional $k$ -dimensional measure of a submanifold of $R^{n}$ is a generalization of the fractional perimeter and fractional length appearing in the literature and depe…

math.DG2025

Approximating the Nonlocal Curvature of Planar Curves

Cole Fleming, Brian Seguin

Here we establish several results on the nonlocal curvature of planar curves. First we show how to express the nonlocal curvature of a curve relative to a point in terms of the non…

First variation of the fractional k-dimensional measure: extending the concept of nonlocal curvature to submanifolds

Approximating the Nonlocal Curvature of Planar Curves

First variation of the fractional $k$ -dimensional measure: extending the concept of nonlocal curvature to submanifolds