Congruências de aplicações harmônicas de uma superfície de riemann em Cpn

Abstract

In this work , we will give a detailed statement of congruence theorem for CP n The result obtained by J. Bolton and L. M. Woodward . We show that ψ and ψe are harmonic maps of a Riemann surface in CP n With Γ -1 = 1 and Γe - Γ0 = Γe0 where or ψ is pseudo- holomorphic or UEP , 0 = Up , 0 for p = 2 . . . N + 1, then There is an isometry g of CP n such that ψe = gψ . Moreover, if ψ is substantially g is then single.