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De Lellis-Topping type inequalities on smooth metric measure spaces

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Abstract

We obtain some De Lellis-Topping type inequalities on the smooth metric measure spaces, some of them are as generalization of De Lellis-Topping type inequality that was proved by X. Cheng [Ann. Global Anal. Geom., 2013, 43: 153-160].

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Acknowledgements

The authors would like to thank the referees for useful suggestions. This work was supported in part by the National Natural Science Foundation of China (Grant No. 11301017), the Research Fund for the Doctoral Program of Higher Education of China, and the Fundamental Research Funds for the Central Universities.

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Correspondence to Shijin Zhang.

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Meng, M., Zhang, S. De Lellis-Topping type inequalities on smooth metric measure spaces. Front. Math. China 13, 147–160 (2018). https://doi.org/10.1007/s11464-017-0670-z

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  • DOI: https://doi.org/10.1007/s11464-017-0670-z

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