Loop space of a Kähler manifold
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915123742900224 |
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| author | Anakkar, M. |
| author_facet | Anakkar, M. |
| contents | We prove that the loop space of a Kähler manifold inherits a Kähler structure. Then we prove that equipped with this natural metric the loop space is complete and unbounded. Additionally, we show that a geodesic on the loop space can be constructed by piecing together geodesics from each individual leaf. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15984 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Loop space of a Kähler manifold Anakkar, M. Differential Geometry Complex Variables We prove that the loop space of a Kähler manifold inherits a Kähler structure. Then we prove that equipped with this natural metric the loop space is complete and unbounded. Additionally, we show that a geodesic on the loop space can be constructed by piecing together geodesics from each individual leaf. |
| title | Loop space of a Kähler manifold |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2501.15984 |