The properties characterizing Sturmian words are considered for
words on multiliteral alphabets. We
summarize various generalizations of Sturmian words to
multiliteral alphabets and enlarge the list of known
relationships among these generalizations.
We provide a new equivalent definition of rich words
and make use of it in the study of generalizations of Sturmian words based on palindromes.
We also collect many examples of infinite words to illustrate differences in the
generalized definitions of Sturmian words.