Hom-Lie superalgebra structures on finite-dimensional simple Lie   superalgebras
  Hom-Lie superalgebras, which can be considered as a deformation of Lie superalgebras, are $\mathbb{Z}_2$-graded generalization of Hom-Lie algebras. In this paper, we prove that there is only the trivial Hom-Lie superalgebra structure over a finite-dimensional simple Lie superalgebra. 
Bintao Cao and Li Luo
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