Killing vector fields and harmonic forms
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- by Edward T. Wright PDF
- Trans. Amer. Math. Soc. 199 (1974), 199-202 Request permission
Abstract:
The paper is concerned with harmonic $(p,q)$-forms on compact Kähler manifolds which admit Killing vector fields with discrete zero sets. Let ${h^{p,q}}$ denote the dimension of the space of harmonic $(p,q)$-forms. The main theorem states that ${h^{p,q}} = 0,p \ne q$.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 199 (1974), 199-202
- MSC: Primary 57D70; Secondary 58G10
- DOI: https://doi.org/10.1090/S0002-9947-1974-0350757-2
- MathSciNet review: 0350757