Details

Autor(en) / Beteiligte

• Kazemi Torbaghan, Seyed Mehdi
• Salehi, Keyvan
• Babayi, Salman
• López, Rafael
• Rafael López

Titel

Existence and Stability of α−Harmonic Maps

Ist Teil von

• Journal of mathematics (Hidawi), 2022, Vol.2022, p.1-10

Ort / Verlag

Cairo: Hindawi

Erscheinungsjahr

2022

Link zum Volltext

Quelle

EZB Free E-Journals

Beschreibungen/Notizen

• In this paper, we first study the α−energy functional, Euler-Lagrange operator, and α-stress-energy tensor. Second, it is shown that the critical points of the α−energy functional are explicitly related to harmonic maps through conformal deformation. In addition, an α−harmonic map is constructed from any smooth map between Riemannian manifolds under certain assumptions. Next, we determine the conditions under which the fibers of horizontally conformal α−harmonic maps are minimal submanifolds. Then, the stability of any α−harmonic map on Riemannian manifold with nonpositive curvature is studied. Finally, the instability of α−harmonic maps from a compact manifold to a standard unit sphere is investigated.