【摘要】 假设目标流形是Sasaki空间形式或三维Sasaki流形,我们讨论所有调和态射集合中黎曼下浸的谱特征,同时也研究关于反不变子流形和Sasaki子流形的调和映射能量的Hessian的谱问题。更多还原

【Abstract】 Assume that the target manifold is either a Sasakian space form, or a 3-dimensional Sasakian manifold. We discuss spetral characterization of har monic Riemannian submersions among the set of all harmonic morphisms, and study spectral problem of the Hessian of the energy of a harmonic map with respect to an anti-invariant submanifold and a Sasakian submanifold.更多还原