I am not sure if I follow you entirely. A converter is used to convert between two different types, like converting from a string to an int.
With the problem you describe here, you can always set up the mapping manually. Something like this:
mapping = new Mapping<DTOPerson, LTSPerson>();
mapping.Relate(dtoperson => dtoperson.CodPeople, ltsperson => ltsperson.cod_people);
Does that answer the question?