We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold $M$ into a sphere $S^m subset mathbb{R}^{m+1}$ Given a codimension two totally geodesic submanifold $Sigma subset S^m$, we show that every nonconstant exponentially harmonic map $phi: M o S^m$ either meets or links $Sigma$. If $H^1(M mathbb{Z})=0$ then $phi (M) cap Sigma neq emptyset$
Exponentially harmonic maps into spheres
Sorin Dragomir
;Francesco Esposito
2018-01-01
Abstract
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold $M$ into a sphere $S^m subset mathbb{R}^{m+1}$ Given a codimension two totally geodesic submanifold $Sigma subset S^m$, we show that every nonconstant exponentially harmonic map $phi: M o S^m$ either meets or links $Sigma$. If $H^1(M mathbb{Z})=0$ then $phi (M) cap Sigma neq emptyset$File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Exponentially Harmonic Maps into Spheres.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Pdf editoriale
Licenza:
DRM non definito
Dimensione
311.08 kB
Formato
Adobe PDF
|
311.08 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
