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PreprintarXiv licencearXiv

A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications

  • Jih-Hsin Cheng
  • Hung-Lin Chiu
  • Wei-Ting Kao
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Abstract

The first two authors derived the Weitzenböck-type Formula for a CR Dirac operator. In this paper, we apply the above-mentioned formula and follow the process as Riemannian case to derive a Reilly-type inequality. We give two applications for the CR Reilly inequality. One is a lower bound estimate of the p-mass in terms of the first eigenvalue of the modified hypersurface CR Dirac operator. Another one is to solve the CR Dirac equation on a bounded domain with an S1-action and an APS-type boundary condition.

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Cite

BibTeXRIS
BibTeX
@misc{cheng2026reillytype,
  title = {{A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications}},
  author = {Jih-Hsin Cheng and Hung-Lin Chiu and Wei-Ting Kao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29077},
  eprint = {2609.29077},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29077},
}
RIS
TY  - UNPB
TI  - A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications
AU  - Jih-Hsin Cheng
AU  - Hung-Lin Chiu
AU  - Wei-Ting Kao
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29077
UR  - https://arxiv.org/abs/2609.29077
AB  - The first two authors derived the Weitzenböck-type Formula for a CR Dirac operator. In this paper, we apply the above-mentioned formula and follow the process as Riemannian case to derive a Reilly-type inequality. We give two applications for the CR Reilly inequality. One is a lower bound estimate of the p-mass in terms of the first eigenvalue of the modified hypersurface CR Dirac operator. Another one is to solve the CR Dirac equation on a bounded domain with an S^1-action and an APS-type boundary condition.
ER  -