2018/01/31 by Volker Branding · 10 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Differential Geometry Research #Biharmonic equation #Black Holes and Theoretical Physics #Curvature #Differential geometry #Fourier analysis #Geodesic #Geometric Analysis and Curvature Flows #Harmonic #Harmonic map #Term (time) #math-ph #math.AP #math.DG #math.MP #msc:31B30 #msc:58E20
paper · pdf · doi:10.1007/s12220-018-00130-x
published in Journal of Geometric Analysis 30(1), 248-273 (Springer Science+Business Media)
openalex publication_date 2019/01/14 · arxiv created 2019/01/16 · openalex created_date 2019/01/25 · arxiv updated 2020/02/04 · openalex updated_date 2026/08/05
Motivated from the action functional for bosonic strings with extrinsic curvature term we introduce an action functional for maps between Riemannian manifolds that interpolates between the actions for harmonic and biharmonic maps. Critical points of this functional will be called interpolating sesqui-harmonic maps. In this article we initiate a rigorous mathematical treatment of this functional and study various basic aspects of its critical points.