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Extension formulae on almost complex manifolds

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Abstract

We give the extension formulae on almost complex manifolds and give decompositions of the extension formulae. As applications, we study (n, 0)-forms, the (n, 0)-Dolbeault cohomology group and (n, q)-forms on almost complex manifolds.

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Acknowledgements

The first author was supported by National Natural Science Foundation of China (Grant No. 11871016). The second author expresses his great gratitude to Sheng Rao and Quanting Zhao for their sincere advices and kindhearted help on both mathematical and non-mathematical aspects of this manuscript. The second author also thanks Wei Xia for his useful discussions. The authors are grateful to the two anonymous referees for helpful comments and suggestions.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, Shanghai, 200433, China

    Jixiang Fu

  2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Haisheng Liu

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  1. Jixiang Fu
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  2. Haisheng Liu
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Correspondence to Haisheng Liu.

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Fu, J., Liu, H. Extension formulae on almost complex manifolds. Sci. China Math. 64, 45–80 (2021). https://doi.org/10.1007/s11425-019-1668-4

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  • DOI: https://doi.org/10.1007/s11425-019-1668-4

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