Some Inequalities for Ricci Solitons

Abstract

We deal with a submanifold of a Ricci soliton (M¯ , g¯, V, λ) and obtain that under what conditions such asubmanifold is Ricci soliton. Moreover, we establish some inequalities for Ricci solitons to obtain the relationshipsbetween the intrinsic or extrinsic invariants.