A special concavity property for positive Hessian quotient operators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866912595384991744 |
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| author | Guan, Pengfei Sroka, Marcin |
| author_facet | Guan, Pengfei Sroka, Marcin |
| contents | We establish a special concavity property for positive Hessian quotient operators $\frac{σ_n(W)}{σ_{n-k}(W)}, \ 1\le k\le n-1$. As a consequence, we prove a Jacobi inequality for general symmetric tensor satisfying positive Hessian quotient equation on Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A special concavity property for positive Hessian quotient operators Guan, Pengfei Sroka, Marcin Analysis of PDEs Differential Geometry We establish a special concavity property for positive Hessian quotient operators $\frac{σ_n(W)}{σ_{n-k}(W)}, \ 1\le k\le n-1$. As a consequence, we prove a Jacobi inequality for general symmetric tensor satisfying positive Hessian quotient equation on Riemannian manifolds. |
| title | A special concavity property for positive Hessian quotient operators |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2509.16406 |