Displaying 21 – 40 of 55

Showing per page

Quaternionic maps and minimal surfaces

Jingyi Chen, Jiayu Li (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let ( M , J α , α = 1 , 2 , 3 ) and ( N , 𝒥 α , α = 1 , 2 , 3 ) be hyperkähler manifolds. We study stationary quaternionic maps between M and N . We first show that if there are no holomorphic 2-spheres in the target then any sequence of stationary quaternionic maps with bounded energy subconverges to a stationary quaternionic map strongly in W 1 , 2 ( M , N ) . We then find that certain tangent maps of quaternionic maps give rise to an interesting minimal 2-sphere. At last we construct a stationary quaternionic map with a codimension-3 singular set by using the embedded...

Currently displaying 21 – 40 of 55