1. CMB 2009 (vol 52 pp. 18)
|Harmonicity of Holomorphic Maps Between Almost Hermitian Manifolds |
In this paper we study holomorphic maps between almost Hermitian manifolds. We obtain a new criterion for the harmonicity of such holomorphic maps, and we deduce some applications to horizontally conformal holomorphic submersions.
Keywords:almost Hermitian manifolds, harmonic maps, harmonic morphism
2. CMB 2008 (vol 51 pp. 448)
|Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms |
Biharmonic maps are defined as critical points of the bienergy. Every harmonic map is a stable biharmonic map. In this article, the stability of nonharmonic biharmonic Legendrian submanifolds in Sasakian space forms is discussed.
Keywords:biharmonic maps, Sasakian manifolds, Legendrian submanifolds