Abstract
We obtain optimal lower bounds for the eigenvalues of the Dirac–Witten operator on locally reducible spacelike submanifolds in terms of intrinsic and extrinsic quantities. The limiting cases are also studied.
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Acknowledgements
The author would like to thank Professor Bernd Ammann for sharing his ideas and some valuable conversations when the author visited Fakultät für Mathematik, Regensburg University. The author also thanks the referee for his (or her) careful reading and helpful comments.
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Chen, Y. Eigenvalue estimate for the Dirac–Witten operator on locally reducible Riemannian manifolds. Lett Math Phys 113, 72 (2023). https://doi.org/10.1007/s11005-023-01691-x
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DOI: https://doi.org/10.1007/s11005-023-01691-x