A Liouville theorem for F-harmonic maps with finite F-energy
| dc.contributor.author | Kassi, M'hamed | |
| dc.date.accessioned | 2021-07-14T18:17:10Z | |
| dc.date.available | 2021-07-14T18:17:10Z | |
| dc.date.issued | 2006-01-31 | |
| dc.description.abstract | Let (M, g) be a m-dimensional complete Riemannian manifold with a pole, and (N, h) a Riemannian manifold. Let F : ℝ⁺ → ℝ⁺ be a strictly increasing C2 function such that F(0) = 0 and dF := sup(tF′ (t)) (F(t))1) < ∞. We show that if dF < m/2, then every F-harmonic map u : M → N with finite F-energy (i.e. a local extremal of EF(u) := ∫M F(|du|2 /2) dVg and EF(u) is finite) is a constant map provided that the radial curvature of M satisfies a pinching condition depending to dF. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kassi, M. (2006). A Liouville theorem for F-harmonic maps with finite F-energy. <i>Electronic Journal of Differential Equations, 2006</i>(15), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13888 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | F-harmonic maps | |
| dc.subject | Liouville propriety | |
| dc.subject | Stokes formula | |
| dc.subject | Comparison theorem | |
| dc.title | A Liouville theorem for F-harmonic maps with finite F-energy | |
| dc.type | Article |