Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914857724411904 |
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| author | Peng, Xiquan Shao, Guokuan Wang, Wenxuan |
| author_facet | Peng, Xiquan Shao, Guokuan Wang, Wenxuan |
| contents | In this paper, we show that the optimal fundamental estimate holds true on a weakly $1$-complete manifold with mild conditions, then we establish the weak Morse inequalities for lower energy forms on the manifold. We also study the case for $q$-convex manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11908 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds Peng, Xiquan Shao, Guokuan Wang, Wenxuan Complex Variables Differential Geometry 32A25, 32L10 In this paper, we show that the optimal fundamental estimate holds true on a weakly $1$-complete manifold with mild conditions, then we establish the weak Morse inequalities for lower energy forms on the manifold. We also study the case for $q$-convex manifolds. |
| title | Asymptotics of Spectral Functions of Lower Energy Forms on Weakly 1-Complete Manifolds |
| topic | Complex Variables Differential Geometry 32A25, 32L10 |
| url | https://arxiv.org/abs/2404.11908 |