Some canonical metrics {\em via} Aubin's local deformations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866912021397635072 |
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| author | Catino, Giovanni Dameno, Davide Mastrolia, Paolo |
| author_facet | Catino, Giovanni Dameno, Davide Mastrolia, Paolo |
| contents | In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning the Weyl tensor, on every compact manifold. In particular, in dimension four, we show that there are no topological obstructions for the existence of metrics with non-vanishing Bach tensor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_11016 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Some canonical metrics {\em via} Aubin's local deformations Catino, Giovanni Dameno, Davide Mastrolia, Paolo Differential Geometry In this paper, using special metric deformations introduced by Aubin, we construct Riemannian metrics satisfying non-vanishing conditions concerning the Weyl tensor, on every compact manifold. In particular, in dimension four, we show that there are no topological obstructions for the existence of metrics with non-vanishing Bach tensor. |
| title | Some canonical metrics {\em via} Aubin's local deformations |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2206.11016 |