On transnormal surfaces in the euclidean spaces R3, R4

الملخص EN

In this paper we study transnormal surfaces in the Euclidean spaces R3, R4.

We give a review of transnormal manifolds, which enable us to concentrate on Robertson's main theorems regarding transnormal surfaces.

We classify compact and non compact transnormal surfaces in R3 and R4 as well their orders.

We illustrate how the usual torus is not transnormal in R3 while the product one is transnormal in R4.