CR-structures on SOg(M)
Received: 21 March 1998
Mathematics Subject Classification (2000): 32C16 - 22E10 - 53C20
Abstract: Let (M,g) be an m-dimensional orientable riemannian manifold. A family of almost CR-structures is constructed on the principal bundle SOg(M). Their integrability is studied, obtaining that it is equivalent to (M,g) being of constant sectional curvature (Theorem 4.4).