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The spectrum of the Laplacian on forms over flat manifolds

https://doi.org/10.1007/s00209-019-02407-5

Charalambous, Nelia; Lu, Zhiqin (October 2020, Mathematische Zeitschrift)

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The spectrum of continuously perturbed operators and the Laplacian on forms

https://doi.org/10.1016/j.difgeo.2019.05.002

Charalambous, Nelia; Lu, Zhiqin (August 2019, Differential Geometry and its Applications)

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Analysis of the Laplacian on the moduli space of poliarzied Calabi-Yau manifolds

Lu, Zhiqin Xu (January 2019, Contemporary mathematics)

In this paper, we generalize the spectrum relation in the paper "On the spectrum of the Laplacian, Math. Ann., 359(1-2):211--238, 2014, by Nelia Charalambous and Zhiqin Lu" to any Hermitian manifolds. We also prove that the closure of the Laplace operator on the moduli space of polarized Calabi-Yau manifolds is self-adjoint.
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