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Minimal submanifolds in a metric measure space

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Abstract

In this paper, we survey some of our and related work on minimal submanifolds in a smooth metric measure space, or called, weighted minimal submanifolds in a Riemannian manifold, focusing on the the volume estimate of immersed minimal submanifolds.

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Acknowledgements

The both authors were partially supported by CNPq and Faperj of Brazil.

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Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade Federal Fluminense, Niterói, RJ, 24020, Brazil

    Xu Cheng & Detang Zhou

Authors
  1. Xu Cheng
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  2. Detang Zhou
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Corresponding author

Correspondence to Detang Zhou.

Additional information

This article is part of the topical collection dedicated to Prof. Dajun Guo for his 85th birthday, edited by Yihong Du, Zhaoli Liu, Xingbin Pan, and Zhitao Zhang.

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Cheng, X., Zhou, D. Minimal submanifolds in a metric measure space. SN Partial Differ. Equ. Appl. 1, 28 (2020). https://doi.org/10.1007/s42985-020-00033-z

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  • DOI: https://doi.org/10.1007/s42985-020-00033-z

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