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arXiv · 2609.29077

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 $S^{1}$-action and an APS-type boundary condition.

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Jih-Hsin Cheng, Hung-Lin Chiu, Wei-Ting Kao. 2026-09-24. A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications. https://arxiv.org/abs/2609.29077

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