Moroianu, Andrei and Pilca, Mihaela (2025) Reducible Riemannian manifolds with conformal product structures. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. ISSN 0008-414X, 1496-4279
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We study conformal product structures on compact reducible Riemannian manifolds, and show that under a suitable technical assumption, the underlying Riemannian manifolds are either conformally flat or local triple products, i.e., locally isometric to Riemannian manifolds of the form $(M,g)$ with $M=M_1\times M_2\times M_3$ and $g=e<^>{2f}g_1+g_2+g_3$ , where $g_i$ is a Riemannian metric on $M_i$ , for $i\in \{1,2,3\}$ , and $f\in C<^>\infty (M_1\times M_2)$ .
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EINSTEIN; SPACES; Conformal product structures; Weyl connections; reducible holonomy; local triple products |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 May 2026 05:57 |
| Last Modified: | 05 May 2026 05:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/67155 |
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