Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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VANISHING THEOREMS FOR WEIGHTED HARMONIC 1-FORMS ON SMOOTH METRIC MEASURE SPACES

  • Xiaoli Chao (School of Mathematics Southeast University) ;
  • Weili Wang (School of Mathematics Southeast University, The Affiliated High School of Shenzhen University)
  • Received : 2021.12.25
  • Accepted : 2023.02.13
  • Published : 2023.05.31
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Abstract

In this paper, we prove some vanishing theorems under the assumptions of weighted BiRic curvature or m-Bakry-Émery-Ricci curvature bounded from below.

Keywords

Acknowledgement

This work is partially supported by the Natural Science Foundation of Jiangsu Province BK20161412.

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