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Korean Mathematical Society (대한수학회)
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ON VANISHING THEOREMS FOR LOCALLY CONFORMALLY FLAT RIEMANNIAN MANIFOLDS

  • Nguyen, Dang Tuyen (Department of Mathematics National University of Civil Engineering) ;
  • Pham, Duc Thoan (Department of Mathematics National University of Civil Engineering)
  • Received : 2021.04.29
  • Accepted : 2021.08.30
  • Published : 2022.03.31
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Abstract

In this paper, we obtain some vanishing theorems for p-harmonic 1-forms on locally conformally flat Riemannian manifolds which admit an integral pinching condition on the curvature operators.

Keywords

Acknowledgement

This work is completed during a stay of the second author at the Vietnam Institutes for Advanced Study in Mathematics (VIASM). He would like to thank the staff there for support. Both authors would like to thank N. T. Dung for drawing our attention to this topic and helpful discussion during the preparation of this work.

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