6533b82dfe1ef96bd1291efe
RESEARCH PRODUCT
Relationship between volume and energy of vector fields
Olga Gil-medranosubject
volumeenergy and total bending of vector fieldscritical pointsMathematical analysisBendingVolume and energy functionalsSpace (mathematics)Manifoldvariational problemsComputational Theory and MathematicsVolume (thermodynamics)Product (mathematics)Fundamental vector fieldVector fieldGeometry and TopologyMathematics::Differential GeometryAnalysisEnergy (signal processing)Mathematicsdescription
Abstract A unified study of energy and volume functionals is presented here by determining the critical points of a functional that extends simultaneously energy and volume and that is defined on the product of the manifold of smooth maps C∞(M,N) times the manifold M of riemannian metrics on M. The restriction of this functional to different submanifolds of the space of vector fields X (M)× M is also considered, and used to study several functionals generalizing volume and energy or total bending of vector fields
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-09-01 | Differential Geometry and its Applications |