We find that: the Theorems 1 and 2, called "the generalization of Morse Lemma" in [1], are just a copy of a well known result in Singularity Theory, and the conclusion of Theorem 2 is not true. Since the Morse Lemma is an important result in Singularity Theory, we will discuss to the author of [1] for the problem of generalizing Morse Lemma. |