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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.14818 |
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| _version_ | 1866910536683225088 |
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| author | Wu, Tong Wang, Yong |
| author_facet | Wu, Tong Wang, Yong |
| contents | In this paper, we compute the noncommutative residue for the rescaled Dirac operator fDh on 6-dimensional compact manifolds without boundary. And we give the proof of the Kastler-Kalau-Walze type theorem for the rescaled Dirac operator fDh on 6-dimensional compact manifolds with boundary. We also give some important special cases which can be solved by our calculation methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14818 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds Wu, Tong Wang, Yong Differential Geometry In this paper, we compute the noncommutative residue for the rescaled Dirac operator fDh on 6-dimensional compact manifolds without boundary. And we give the proof of the Kastler-Kalau-Walze type theorem for the rescaled Dirac operator fDh on 6-dimensional compact manifolds with boundary. We also give some important special cases which can be solved by our calculation methods. |
| title | The Rescaled Dirac operator fDh and the noncommutative residue for 6-dimensional manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2407.14818 |