Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606302 | Differential Geometry and its Applications | 2012 | 20 Pages |
Abstract
We study contact harmonic maps, i.e. smooth maps Ï:MâN from a strictly pseudoconvex CR manifold M into a contact Riemannian manifold N which are critical points of the functional E(Ï)=12â«Mâ(dÏ)H,Hâ²â2θâ§(dθ)n and their generalizations. We derive the first and second variation formulae for E and study stability of contact harmonic maps. Contact harmonic maps are shown to arise as boundary values of critical points ÏâCâ(Ω¯,N) of the functional â«Î©âÎ Hâ²ÏâÏââ2dvol(gB) where ΩâCn+1 is a smoothly bounded strictly pseudoconvex domain endowed with the Bergman metric gB.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sorin Dragomir, Robert Petit,