Harmonic sections of vector bundles with spherically symmetric metrics
-
Mohamed T. K. Abbassi
and
Ibrahim Lakrini
Abstract
We equip an arbitrary vector bundle over a Riemannian manifold, endowed with a fiber metric and a compatible connection, with a spherically symmetric metric (cf. [4]), and westudy harmonicity of its sections firstly as smooth maps and then as critical points of the energy functional with variations through smooth sections.We also characterize vertically harmonic sections. Finally, we give some examples of special vector bundles, recovering in some situations some classical harmonicity results.
Communicated by: G. Gentili
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Articles in the same Issue
- Frontmatter
- Ricci almost solitons with associated projective vector field
- Stein domains in ℂ2 with prescribed boundary
- Two examples of harmonic maps into spheres
- Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups
- The moduli space of tropical curves with fixed Newton polygon
- On nilpotent automorphism groups of function fields
- Locally homogeneous non-gradient quasi-Einstein 3-manifolds
- Positive Ricci curvature on fiber bundles with compact structure group
- Rank one sheaves over quaternion algebras on Enriques surfaces
- The complexity of orientable graph manifolds
- Representability of Chow groups of codimension three cycles
- Harmonic sections of vector bundles with spherically symmetric metrics
Articles in the same Issue
- Frontmatter
- Ricci almost solitons with associated projective vector field
- Stein domains in ℂ2 with prescribed boundary
- Two examples of harmonic maps into spheres
- Numerical semigroups, polyhedra, and posets II: locating certain families of semigroups
- The moduli space of tropical curves with fixed Newton polygon
- On nilpotent automorphism groups of function fields
- Locally homogeneous non-gradient quasi-Einstein 3-manifolds
- Positive Ricci curvature on fiber bundles with compact structure group
- Rank one sheaves over quaternion algebras on Enriques surfaces
- The complexity of orientable graph manifolds
- Representability of Chow groups of codimension three cycles
- Harmonic sections of vector bundles with spherically symmetric metrics
