Catherine Searle

activity

20242026

collaborators

Showing math.DGShow all

4 papers · 1 filter

math.DG2026

$Z_{p}$ -torus actions on positively curved manifolds

Muhammad Abdullah, Catherine Searle

In this article, we study closed, positively curved $n$ -manifolds that admit an effective, isometric $Z_{p}^{r}$ -action with a fixed point, where $p$ is an odd prime. For all…

math.DG2025

Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds

Isabel Beach, HaydeÃ© 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.DG2024

On Fixed-Point Sets of $Z_{2}$ -Tori in Positive Curvature

Austin Bosgraaf, Christine Escher, Catherine Searle

In recent work of Kennard, Khalili Samani, and the last author, they generalize the Half-Maximal Symmetry Rank result of Wilking for torus actions on positively curved manifolds to…

math.DG2024

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

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 $…

Zp​-torus actions on positively curved manifolds

Lengths of Orthogonal Geodesic Chords on Riemannian Manifolds

On Fixed-Point Sets of Z2​-Tori in Positive Curvature

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

$Z_{p}$ -torus actions on positively curved manifolds

On Fixed-Point Sets of $Z_{2}$ -Tori in Positive Curvature