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This is a Quantitative Study study.

October 13, 2025Open Access

Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

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The spectrum of the Kohn Laplacian reveals the fundamental group for dimension three.
Weyl-type theorem established for the Kohn Laplacian on CR manifolds.
Sobolev estimates are obtained for the complex Green's operator on quotient manifolds.
Significant implications for understanding geometric properties through eigenvalues.

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Implication

This research demonstrates that the spectrum of the Kohn Laplacian can identify the fundamental group in CR manifolds, highlighting significant Sobolev estimates.

Cite This Study

Cohen et al. (2025) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec094d3 https://doi.org/10.48550/arxiv.2509.11463

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Implication

This research demonstrates that the spectrum of the Kohn Laplacian can identify the fundamental group in CR manifolds, highlighting significant Sobolev estimates.

Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

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Discussion

Implication

Cite This Study

Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients

Key Points

Discussion

Implication

Cite This Study

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