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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
Toby Aldape
Given a Yamaguchi nonrigid parabolic model geometry with simple of real rank at least , we use techniques developed by Erickson to establish the existence of closed,…