Tight surfaces in three-dimensional compact Euclidean space forms
Marc-Oliver Otto · Transactions of the American Mathematical Society · 2003
In this paper we define and discuss tight surfaces — smooth or polyhedral — in three-dimensional compact Euclidean space forms and prove existence and non-existence results. It will be shown that all orientable and most of the non-orientable surfaces can be tightly immersed in any of these space forms.