The Lichnerowicz Laplacian on normal homogeneous spaces
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914782010933248 |
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| author | Schwahn, Paul |
| author_facet | Schwahn, Paul |
| contents | We give a new formula for the Lichnerowicz Laplacian on normal homogeneous spaces in terms of Casimir operators. We derive some practical estimates and apply them to the known list of non-symmetric, compact, simply connected homogeneous spaces $G/H$ with $G$ simple whose standard metric is Einstein. This yields many new examples of Einstein metrics which are stable in the Einstein-Hilbert sense, which have long been lacking in the positive scalar curvature setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10607 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Lichnerowicz Laplacian on normal homogeneous spaces Schwahn, Paul Differential Geometry 53C24, 53C25, 53C30 We give a new formula for the Lichnerowicz Laplacian on normal homogeneous spaces in terms of Casimir operators. We derive some practical estimates and apply them to the known list of non-symmetric, compact, simply connected homogeneous spaces $G/H$ with $G$ simple whose standard metric is Einstein. This yields many new examples of Einstein metrics which are stable in the Einstein-Hilbert sense, which have long been lacking in the positive scalar curvature setting. |
| title | The Lichnerowicz Laplacian on normal homogeneous spaces |
| topic | Differential Geometry 53C24, 53C25, 53C30 |
| url | https://arxiv.org/abs/2304.10607 |