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Higher-order Minkowski formula in complex space forms

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Abstract

In this paper, we prove higher-order Minkowski-type formulas for closed real hypersurfaces in complex space forms. As applications, we obtain several integral inequalities.

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Acknowledgements

The author is partially supported by NSFC Grants Nos. 11831005, 11961131001 and 11671223. The author would like to express his deep gratitude to his supervisor Professor Hui Ma for her valuable suggestions and helpful discussions during the completion of this paper.

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Correspondence to Dong Gao.

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Gao, D. Higher-order Minkowski formula in complex space forms. Ann Glob Anal Geom 57, 401–414 (2020). https://doi.org/10.1007/s10455-020-09706-9

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  • DOI: https://doi.org/10.1007/s10455-020-09706-9

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