THE BOCHNER VANISHING THEOREMS ON THE CONFORMAL KILLING VECTOR FIELDS

Abstract

In this paper, the result of the Bochner vanishing theorems, indicating the conditions that every conformal killing vector elds is parallel and there is no nontrivial Conformal Killing vector eld, are satised under two dierent modicated Ricci tensors.

Keywords

• Ricci curvature,Conformal Killing vector eld,Vanishing theorem,Bochner technique.

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