Gorenstein ring of sections and complete intersections in codimension two

Let R be a regular local ring of dimension n⩾5, and p a prime ideal of height 2. Let (V,OV) be the punctured spectrum of R/p. We show that if the ring Γ(V,OV) is Gorenstein, then R/p 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.