Abstract
The necessary and sufficient conditions for variationality are obtained from the requirement that a differential two-form be closed. The classical Helmholtz equations are shown to follow from these equations. An application of these results to the case in which one of the functions in these equations is taken to be a Riemannian metric on a curved space is presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.