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Let(    ) be a real analytic submanifold defined by an equation of the form:  w =|  z | 2 +  O (|  z | 3 ), where we usefor the coordinates of. We first derive a pseudonormal form for  M  near 0. We then use it to prove that ( M , 0) is holomorphically equivalent to the quadricif and only if it can be formally transformed to. We also use it to give a necessary and sufficient condition when ( M , 0) can be formally flattened. Our main theorem generalizes a classical result of Moser for the case of  n =1.

A Codimension Two CR Singular Submanifold That Is Formally Equivalent to a Symmetric Quadric