The stress–energy tensor for polyharmonic maps. (January 2020)

• Record Type: Journal Article
• Authors: Branding, Volker
• Is Part Of: Nonlinear analysis. Volume 190(2020)
• Publication Date: 2020-01
• Subjects: 58E20 -- 53C43 -- 31B30 -- 35J48 -- 35J91; Polyharmonic maps -- Stress–energy tensor -- Triharmonic maps; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.111616
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We derive the stress–energy tensor for polyharmonic maps between Riemannian manifolds. Moreover, we employ the stress–energy tensor to characterize polyharmonic maps where we pay special attention to triharmonic maps.