Transversely symplectic Dirac operators on a transversely symplectic foliation

DOI10.1016/J.GEOMPHYS.2022.104524arXiv2110.09752WikidataQ114173547 ScholiaQ114173547MaRDI QIDQ6380732

Publication date: 19 October 2021

Abstract: We study the transversely metaplectic structure and the transversely symplectic Dirac operator on a transversely symplectic foliation. Moreover, we give the Weitzenbock type formula for transversely symplectic Dirac operators and we estimate the lower bound of the eigenvalues of the transversely symplectic Dirac operator on special spinors space on transverse Kahler foliations.

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Spectral theory; eigenvalue problems on manifolds (58C40)

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