Stability of Cylinders in E(κ, τ ) Homogeneous Spaces Bueno, Antonio López Camino, Rafael E(κ, τ ) spaces Stability Plateau–Rayleigh instability We extend the classical Plateau–Rayleigh instability criterion in the E(κ, τ ) spaces.We prove the existence of a positive number L0 > 0 such that if a truncated circular cylinder of radius ρ in E(κ, τ) has length L > L0, then it is unstable. This number L0 depends on κ, τ and ρ. The value L0 is sharp under axially symmetric variations of the surface. We also extend this result for the partitioning problem in E(κ, τ ). 2025-04-04T07:19:33Z 2025-04-04T07:19:33Z 2025-03-21 journal article Bueno, A., López, R. Stability of Cylinders in Homogeneous Spaces. Mediterr. J. Math. 22, 59 (2025). [https://doi.org/10.1007/s00009-025-02829-y] https://hdl.handle.net/10481/103436 10.1007/s00009-025-02829-y eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer Nature