$L^2$-estimates on flat vector bundles and Prékopa's theorem
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915096982192128 |
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| author | Huang, Gang Jiang, Weiwen Qin, Xiangsen |
| author_facet | Huang, Gang Jiang, Weiwen Qin, Xiangsen |
| contents | In this paper, we will construct Hörmander's $L^2$-estimate of the operator $d$ on a flat vector bundle over a $p$-convex Riemannian manifold and discuss some geometric applications of it. In particular, we will generalize the classical Prékopa's theorem in convex analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05699 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $L^2$-estimates on flat vector bundles and Prékopa's theorem Huang, Gang Jiang, Weiwen Qin, Xiangsen Differential Geometry Complex Variables In this paper, we will construct Hörmander's $L^2$-estimate of the operator $d$ on a flat vector bundle over a $p$-convex Riemannian manifold and discuss some geometric applications of it. In particular, we will generalize the classical Prékopa's theorem in convex analysis. |
| title | $L^2$-estimates on flat vector bundles and Prékopa's theorem |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2501.05699 |