Gorenstein ring of sections and complete intersections in codimension two

Let R be a regular local ring of dimension n 5, and a prime ideal of height 2. Let be the punctured spectrum of . We show that if the ring is Gorenstein, then is complete intersection. We also show that an analog of the splitting criterion for vector bundles of small rank on projective spaces given in [N. Mohan Kumar, C. Peterson, A. Prabhakar Rao, Monads on projective spaces, Manuscripta Math. 112 (2003) 183–189; p. 185, Theorem 1] holds for vector bundles of small rank on punctured spectrum of regular local rings.