Abstract: Let T be a nonnegative weakly irreducible tensor, and Q (G) be the signless Laplacian tensor of a connected uniform hypergraph G . Some lower bounds of the principal ratio and some bounds on the entries for the principal eigenvector of T and Q (G) were given, respectively.

Key words: nonnegative weakly irreducible tensor, uniform hypergraph, signless Laplacian tensor, principal eigenvector