1. An apprehensive, indecisive person.
2. A small village.
For 1: After Hamlet, the prince of Denmark in Shakespeare's play Hamlet. The opening of Hamlet's soliloquy "To be, or not to be" is among the best-known lines in literature. Earliest documented use: 1903.
For 2: From Old French hamelet, diminutive of hamel (village), which itself is a diminutive of ham (village). Ultimately from the Indo-European root tkei- (to settle or dwell), which also gave us home, haunt, hangar, and site. Earliest documented use: 1330.

The idiom "Hamlet without the Prince" is used to refer to an event or a performance taking place without its main character. USAGE:
"With some he is a Hamlet, a divided man who is always questioning himself."
John S. Dunne; Time And Myth; University of Notre Dame Press; 2012.

"The Baroness was right on one point: he was a Hamlet; his soliloquy might have run, 'To be married or not to be married / That is the question.'"
Herbert Leibowitz; "Something Urgent I Have to Say to You": The Life and Works of William Carlos Williams; Farrar, Straus, and Giroux; 2011.

1) a Potemkin Village
2) Hamlet without the Prince