This paper generalizes and improves the result of  to caloric morphisms between manifolds with different radial semi-euclidean metrics. It is based on the similar arguments as were used in  and  (cf. , , ), but it succeed to remove the technical assumption from the main result of .
Based on the famous Mori-Nagata Theorem: The integral closure of a noetherian domain is a Krull domain, similar assertion was conjectured for Mori domain as follows: The complete integral closure of a Mori domain is a Krull domain. The conjecture is positive for a noetherian domain, Krull domain, a semi normal Mori domain  and Mori domains for which (D : D*) ≠ 0. In general, as M. Roitman has noted , the conjecture is not true. In this paper, an attempt is being made, among other things, to prove that the conjecture is true for a one dimensional Mori domain and for a finite dimensional AV- Mori domain. On the other hand, using the idea of conductor ideals, a simplified proof is given that the conjecture is true for semi normal Mori domains with nonzero pseudo radical.