In this work, we study a hypersurface immersed in specific types of cylindrically symmetric static space-times, then we identify the gauge fields of the Lagrangian that minimizes the area besides the Noether symmetries. We show that these symmetries are part of the Killing algebra of cylindrically symmetric static space-times. By using Noether's theorem, we construct the conserved vector fields for the minimal hypersurface.
Mohammadpouri, A., Hashemi, M. S., Samaei, S., & Salar Anvar, S. (2024). Symmetries of the minimal Lagrangian hypersurfaces on Cylindrically Symmetric Static Space-Times. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.60285.2572
MLA
Akram Mohammadpouri; Mir Sajjad Hashemi; Sona Samaei; Sarkar Salar Anvar. "Symmetries of the minimal Lagrangian hypersurfaces on Cylindrically Symmetric Static Space-Times". Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.60285.2572
HARVARD
Mohammadpouri, A., Hashemi, M. S., Samaei, S., Salar Anvar, S. (2024). 'Symmetries of the minimal Lagrangian hypersurfaces on Cylindrically Symmetric Static Space-Times', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.60285.2572
VANCOUVER
Mohammadpouri, A., Hashemi, M. S., Samaei, S., Salar Anvar, S. Symmetries of the minimal Lagrangian hypersurfaces on Cylindrically Symmetric Static Space-Times. Computational Methods for Differential Equations, 2024; (): -. doi: 10.22034/cmde.2024.60285.2572
)