Toby Aldape

activity

20232026

collaborators

3 papers

math.DG2026

Weyl forms in parabolic contact geometries

Toby Aldape

In a parabolic contact geometry a choice of contact form determines a Weyl form consisting of three components: a soldering form, a Weyl connection, and a Rho tensor. An explicit d…

math.DG2025

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$

Toby Aldape

Given a Yamaguchi nonrigid parabolic model geometry $(G, P)$ with $G$ simple of real rank at least $3$ , we use techniques developed by Erickson to establish the existence of closed,…

math.CO2023

Distinct Distances in $R^{3}$ Between Quadratic and Orthogonal Curves

Toby Aldape, Jingyi Liu, Gregory Pylypovych +2

We study the minimum number of distinct distances between point sets on two curves in $R^{3}$ . Assume that one curve contains $m$ points and the other $n$ points. Our main results: (…

Weyl forms in parabolic contact geometries

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least 3

Distinct Distances in R3 Between Quadratic and Orthogonal Curves

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$

Distinct Distances in $R^{3}$ Between Quadratic and Orthogonal Curves