Abstract
The compatible left-symmetric superalgebra structures on the super Galilean conformal algebra with some natural grading conditions are completely determined. The results of earlier work on left-symmetric superalgebra structures on the infinite-dimensional Lie superalgebra studied by Chen and Hassan play an essential role in determining these compatible structures.
Acknowledgments
I want to thank my advisor Prof. Hongjia Chen for helpful comments to correct some inaccuracies and make the paper more readable. I would like to express my gratitude to the Chinese government for its generous support. I would also like to thank the referee for helpful suggestions which improved the exposition of this paper.