The Partial Ricci Flow on $\mathfrak{g}$-foliations
| Autor: | Rovenski, Vladimir, Wolak, Robert |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | In the paper we introduce new metric structures on $\mathfrak{g}$-foliations that are less rigid than the well-known structures: almost contact and 3-quasi-Sasakian structures as well as $f$-structures with parallelizable kernel and almost para-$\phi$-structures with complemented frames. We discuss the properties of the new structures in order to demonstrate similarities with the corresponding classical structures. Then using the flow of metrics on a $\mathfrak{g}$-foliation, we build deformation retraction of our structures with positive partial Ricci curvature onto the subspace of the aforementioned classical structures. Comment: 12 pages |
| Databáze: | arXiv |
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