@misc{10481/103436,
year = {2025},
month = {3},
url = {https://hdl.handle.net/10481/103436},
abstract = {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 ).},
organization = {Open Access funding provided thanks to the CRUE-CSIC agreement
with Springer Nature},
organization = {MCIN/AEI "ERDF A way of making Europe"
	PID2021-124157NB-I00},
organization = {CARM, Programa Regional de Fomento de la Investigacion, Fundacion Seneca-Agencia de Ciencia y Tecnologia Region de Murcia
	21937/PI/22},
organization = {CUD San Javier research project
	PI082024},
organization = {MINECO/MICINN/FEDER
	PID2023-150727NB-I00},
organization = {The "Maria de Maeztu" Excellence Unit IMAG - MCINN/AEI
	CEX2020-001105-M},
publisher = {Springer Nature},
keywords = {E(κ, τ ) spaces},
keywords = {Stability},
keywords = {Plateau–Rayleigh instability},
title = {Stability of Cylinders in E(κ, τ ) Homogeneous Spaces},
doi = {10.1007/s00009-025-02829-y},
author = {Bueno, Antonio and López Camino, Rafael},
}