  Tight triangulated manifolds are generalisations of neighborly triangulations
of closed surfaces and are interesting objects in Combinatorial Topology. Tight
triangulated manifolds are conjectured to be minimal. Except few, all the known
tight triangulated manifolds are stacked. It is known that locally stacked
tight triangulated manifolds are strongly minimal. Except for three infinite
series and neighborly surfaces, very few tight triangulated manifolds are
known. From some recent works, we know more on tight triangulation. In this
article, we present a survey on the works done on tight triangulation. In
Section 2, we state some known results on tight triangulations. In Section 3,
we present all the known tight triangulated manifolds. Details are available in
the references mentioned there. In Section 1, we present some essential
definitions.
