Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces
The notion of CR-submanifold of a Kählerian manifold was introduced by A. Bejancu. The author studies CR-submanifolds of a Kählerian Finsler space \(M^{2n}\). Invariant submanifolds in complex v-space forms are examined. Any invariant totally-geodesic submanifold of \(M^{2n}\) is proved to be h-minimal and any totally-real submanifold of \(M^{2n}\) with v-flat normal connection is shown to be a Berwald-Cartan space.
scientific article; zbMATH DE number 4192569