We prove that every compact Sasakian manifold of dimension 2n+1 whose horizon- tal sectional curvatures are non-negative and such that 2n is a simple eigenvalue of the Ricci operator admits no non-trivial Codazzi tensors. The same fact is true under suitable pinching assumptions on the φ-sectional curvatures.
Codazzi tensors on Sasakian manifolds
Lotta, A
In corso di stampa
Abstract
We prove that every compact Sasakian manifold of dimension 2n+1 whose horizon- tal sectional curvatures are non-negative and such that 2n is a simple eigenvalue of the Ricci operator admits no non-trivial Codazzi tensors. The same fact is true under suitable pinching assumptions on the φ-sectional curvatures.File in questo prodotto:
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