Moroianu, Andrei and Pilca, Mihaela (2024) ADAPTED METRICS ON LOCALLY CONFORMALLY PRODUCT MANIFOLDS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 152 (5). pp. 2221-2228. ISSN 0002-9939, 1088-6826
Full text not available from this repository. (Request a copy)Abstract
We show that the Gauduchon metric g0 of a compact locally conformally product manifold (M, c, D) of dimension greater than 2 is adapted, in the sense that the Lee form of D with respect to g0 vanishes on the D -flat distribution of M. We also characterize adapted metrics as critical points of a natural functional defined on the conformal class.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Conformal geometry; Weyl structure; Gauduchon metric; LCP structure |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Nov 2025 09:35 |
| Last Modified: | 05 Nov 2025 09:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/64843 |
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