The Liouville Theorem for Sacks–Uhlenbeck α‐Harmonic Maps
ABSTRACT In this work, first, we study the existence of ‐harmonic maps between Riemannian manifolds whose codomain admits a conformal vector field or a strictly convex function. Then, Liouville theorems for Sacks–Uhlenbeck ‐harmonic maps from a noncompact complete Riemannian manifold are given. Lastly, the instability of Sacks–Uhlenbeck ‐harmonic maps from (or to) a sphere and a product of spheres is explored.
Authors
- Seyed Mehdi Kazemi Torbaghan (ORCID: https://orcid.org/0000-0002-7150-1705)
Institutions
- University of Bojnord (IR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-07-13
- DOI
- https://doi.org/10.1002/mma.11188
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00