The Grassmann Manifold Of A Class Of Harmonic Deformation

In this paper , under the method of evaluate curvature and the Bochner's technique, we get the theorem as follows:Theorem: Suppose that φ is a harmonic deformation on Grassmann manifold Gr_d{n) satisfies :1) rank of φ is 12) sup || v ||_P~L< (1/(n(n-d)))~1/2 then...