The research of caloric morphism

关于流形之间的热量态射，我们得到了以下结果：1.在径向黎曼度量的穿孔欧几里德空间上，在维度大于2.2时，确定了原点平移的热态；2.确定了径向半黎曼度量的穿孔欧氏空间上的热态；3.用度规的幂对上述2中的热态进行了参数化；4.确定了两个不同的径向半黎曼度量的穿孔欧氏空间上的热态。5.确定了旋转不变的径向黎曼度量的穿孔欧氏空间上的热态。

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.