摘要设M~n是CP~n(4)中全实的2——调和等距浸入子流形,若M~n紧致,则J_M〔∑aijk(h_ijk~a)~2+(n+1)‖B(f)‖~2-(n+5)‖τ(f)‖~2-(2-1/n)‖B(f)‖~4-‖τ(f)‖·‖B(f)‖~3〕*1≤0,其中h_ij~a是等距浸入的第二基本形式的分量,h_ijk~a是h_ij~a共变导数,H_a=(h_ij~a),‖B(f)‖~2=∑a t
Abstract:Let Mn be a totally real 2--harmonic isometric immersed submanifolds of an n-dimmensional complex projective space cpn(4) and let Mn be compact, thenwhere B(f) =B(f) =∑ aij hijαωi?ωj?eα is the second fundamental form of the immersion, hαijkis