Haydée Contreras-Peruyero

collaborators

3 papers

math.DG2025

Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds

Isabel Beach, Haydeé Contreras-Peruyero, Erin Griffin +2

Let $N$ be a closed submanifold of a complete manifold, $M$ . Then under certain topological conditions, there exists an orthogonal geodesic chord beginning and ending in $N$ . In th…

math.AT2025

Fractal dimensions of complex networks: advocating for a topological approach

Rayna Andreeva, Haydeé Contreras-Peruyero, Sanjukta Krishnagopal +3

Topological Data Analysis (TDA) uses insights from topology to create representations of data able to capture global and local geometric and topological properties. Its methods hav…

math.DG2024

Linear Bounds for the Lengths of Geodesics on Manifolds With Curvature Bounded Below

Isabel Beach, Haydeé Contreras Peruyero, Regina Rotman +1

Let $M$ be a simply connected Riemannian manifold in $M_{k, v}^{D} (n)$ , the space of closed Riemannian manifolds of dimension $n$ with sectional curvature bounded below by $…