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.

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

References in corpus (4)

• Lie and Noether symmetries of geodesic equations and collineations
• The geometric origin of Lie point symmetries of the Schrödinger and the Klein Gordon equations
• Lie point symmetries of a general class of PDEs: The heat equation
• On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa

Cited by in corpus (5)

• Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry
• Lie and Noether point Symmetries for a Class of Nonautonomous Dynamical Systems
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Symmetries of second-order PDEs and conformal Killing vectors
• Noether symmetries of the minimal surface Lagrangian for Gödel-type spacetimes