Noether symmetries and isometries of the minimal surface Lagrangian under constant volume in a Riemannian space

Abstract

We prove a theorem concerning the Noether symmetries for the area minimizing Lagrangian under the constraint of a constant volume in an n-dimensional Riemannian space. We illustrate the application of the theorem by a number of examples.

to be published in Int. J. Geom. Methods Mod. Phys., 10 pages

References in corpus (2)

• Lie and Noether symmetries of geodesic equations and collineations
• Lie point symmetries of a general class of PDEs: The heat equation

Cited by in corpus (3)

• Lie and Noether point Symmetries for a Class of Nonautonomous Dynamical Systems
• Symmetries of second-order PDEs and conformal Killing vectors
• Noether symmetries of the minimal surface Lagrangian for Gödel-type spacetimes