Equality of Commutator Type and Levi Form Type for an \((n-2)\) -Dimensional Bundle

Let M be a smooth real hypersurface in \(\mathbb {C}^{n}\) , and let B be an ( \(n-2\) ) dimensional subbundle of the CR tangent bundle of M. We prove that the commutator type and the Levi form type associated with B are equal to each other. This answers affirmatively the generalized D’Angelo Conjecture for an ( \(n-2\) ) dimensional subbundle of the CR tangent bundle.