شماره ركورد كنفرانس :
3503
عنوان مقاله :
On harmonic vector fields on Finsler manifolds
Author/Authors :
N. Shojaee Amirkabir University , M. Mirmohammad Rezaii Amirkabir University
كليدواژه :
Harmonic vector field , Hodge-de Rahm harmonic , Dirichlet energy
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
In the present work, we try to extend the definition of harmonic vector fields on Finsler manifolds.
For aiming this purpose, we define suitable Dirichlet energy and introduce harmonic vector fields as the
critical points of defining action. Then we extend the Hodge de Rahm harmonic vector fields on m- Finsler
manifolds and Finally we compare these two kinds of definitions of harmonic vector fields with each other