Photo from archive.org
Exponentially harmonic maps and harmonic maps are different. In this paper, we derive the first and second variations of the exponential energy of a smooth map between Finsler manifolds. We… Click to show full abstract
Exponentially harmonic maps and harmonic maps are different. In this paper, we derive the first and second variations of the exponential energy of a smooth map between Finsler manifolds. We show that a non-constant exponentially harmonic map f from a unit m-sphere $$S^m$$Sm ($$m\ge 3$$m≥3) into a Finsler manifold is stable in case $$|df|^2\ge m- 2$$|df|2≥m-2, and is unstable in case $$|df|^2< m-2$$|df|2
Keywords:
exponentially harmonic;
finsler manifolds;
harmonic maps;
maps finsler
Journal Title: manuscripta mathematica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: manuscripta mathematica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!