A Calabi operator for Riemannian locally symmetric spaces
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910661515149312 |
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| author | Costanza, Federico Eastwood, Michael Leistner, Thomas McMillan, Benjamin |
| author_facet | Costanza, Federico Eastwood, Michael Leistner, Thomas McMillan, Benjamin |
| contents | On a Riemannian manifold of constant curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for the range of the Killing operator. We generalise this operator to provide linear second order local integrability conditions on Riemannian locally symmetric spaces, whenever this is possible. Specifically, we show that this generalised operator always works in the irreducible case and we identify precisely those products for which it fails. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_00841 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Calabi operator for Riemannian locally symmetric spaces Costanza, Federico Eastwood, Michael Leistner, Thomas McMillan, Benjamin Differential Geometry 53C35, 53A20 On a Riemannian manifold of constant curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for the range of the Killing operator. We generalise this operator to provide linear second order local integrability conditions on Riemannian locally symmetric spaces, whenever this is possible. Specifically, we show that this generalised operator always works in the irreducible case and we identify precisely those products for which it fails. |
| title | A Calabi operator for Riemannian locally symmetric spaces |
| topic | Differential Geometry 53C35, 53A20 |
| url | https://arxiv.org/abs/2112.00841 |