References

Pseudo-parallel submanifolds in space forms were introduced by Asperti-Lobos-Mercuri as an extrinsic analogue of pseudo-symmetric manifolds in the sense Deszcz and as a direct gener-alization of semi-parallel submanifolds. In this talk we give a complete local classification of pseudo-parallel submanifolds with flat normal bundle of space forms, extending the classifica-tion by Dillen-Nölker and Lumiste for the semi-parallel case. This is join work with Ruy Tojeiro (UFSCar, Brazil)