Abstract:By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible.
Keywords: semiparallel submanifolds, flat normal connection, semisymmetric Riemannian manifolds, manifolds of conullity two
AMS Subject Classification: 53C21, 53C25, 53C42