Special homogeneous surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912150129213440 |
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| author | Lindemann, David Swann, Andrew |
| author_facet | Lindemann, David Swann, Andrew |
| contents | We classify hyperbolic polynomials in two real variables that admit a transitive action on some component of their hyperbolic level sets. Such surfaces are called special homogeneous surfaces, and they are equipped with a natural Riemannian metric obtained by restricting the negative Hessian of their defining polynomial. Independent of the degree of the polynomials, there exist a finite number of special homogeneous surfaces. They are either flat, or have constant negative curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_18228 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Special homogeneous surfaces Lindemann, David Swann, Andrew Differential Geometry High Energy Physics - Theory Algebraic Geometry 53A15 (primary), 51N35, 14M17, 53C30, 53C26 (secondary) We classify hyperbolic polynomials in two real variables that admit a transitive action on some component of their hyperbolic level sets. Such surfaces are called special homogeneous surfaces, and they are equipped with a natural Riemannian metric obtained by restricting the negative Hessian of their defining polynomial. Independent of the degree of the polynomials, there exist a finite number of special homogeneous surfaces. They are either flat, or have constant negative curvature. |
| title | Special homogeneous surfaces |
| topic | Differential Geometry High Energy Physics - Theory Algebraic Geometry 53A15 (primary), 51N35, 14M17, 53C30, 53C26 (secondary) |
| url | https://arxiv.org/abs/2303.18228 |