Exponentially Harmonic Maps into Spheres
Copyright policy )Exponentially Harmonic Maps into Spheres
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold M into a sphere S m ⊂ R m + 1 . Given a codimension two totally geodesic submanifold Σ ⊂ S m , we show that every nonconstant exponentially harmonic map ϕ : M → S m either meets or links Σ . If H 1 ( M , Z ) = 0 then ϕ ( M ) ∩ Σ ≠ ∅ .
Special Riemannian manifolds (Einstein, Sasakian, etc.), Exponentially harmonic map, Differential geometric aspects of harmonic maps, QA1-939, totally geodesic submanifold, Euler-Lagrange equations, Harmonic maps, etc., Mathematics, exponentially harmonic map
Special Riemannian manifolds (Einstein, Sasakian, etc.), Exponentially harmonic map, Differential geometric aspects of harmonic maps, QA1-939, totally geodesic submanifold, Euler-Lagrange equations, Harmonic maps, etc., Mathematics, exponentially harmonic map
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!