GLOBAL DEFORMATION GEOMETRY OFA SELF-GRAVITATIONAL ROTATIONAL BALL

In this paper deformation geometry of a self-gravitational rotational ball is studied globally. The formulas of Gaussian curvature, longitudinal and polar circumference are given. The effect of self-gravitational parameter and rotational parameter for global surface is analyzed. Finally, the upper limits of mass and angular velocity of a self-gravitational rotational ball are determined.