The research of caloric morphism

关于流形之间的热态射，我们得到了以下结果：1.在维数大于2的情况下，确定了径向黎曼度量的删余欧氏空间上平移原点的热态射; 2.确定了径向半黎曼度量的删余欧氏空间上的热态射; 3.利用度量的幂对上述2中的热态射进行了参数化; 4.确定了径向半黎曼度量的两个不同删余欧氏空间上的热态射; 5.确定了旋转不变黎曼度量的删余欧氏空间上的热态射.

On caloric morphisms between manifolds, we obtained the following results :1.The determination of the caloric morphism which translates the origin on punctured euclidean space of radial riemannian metric in the case that the dimension is greater than 2.2.The determination of the caloric morphism on punctured euclidean space of radial semi-riemannian metric.3.The parametrization of the caloric morphisms in above 2 by the power of the metric.4.The determination of the caloric morphism on two different punctured euclidean space of radial semi-riemannian metric.5.The determination of the caloric morphism on punctured euclidean space of rotation invariant riemannian metric.