Conformal Transformation Of Mainfolds

If (M, g) is a n-deminsional smooth manifold,Φ∈C∞(M) is a positive function on M, then g=Φ2g delimits a new measure g which can maintain constant angle between vectors, it is called conformal transfor-mation of the smooth manifold. This paper gives the conformal transfor-mations of generalized Riemann manifolds, sub-Riemann manifold well as non-projective flat manifold and the effect results that the conformal transform played on the various manifolds. It also gets the application results on manifold.