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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.10517 |
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| _version_ | 1866929458802327552 |
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| author | Coulibaly, Patrik |
| author_facet | Coulibaly, Patrik |
| contents | In this paper, we give some simple conditions under which a Hamiltonian stationary Lagrangian submanifold of a Kähler-Einstein manifold must have a Euclidean factor or be a fiber bundle over a circle. We also characterize the Hamiltonian stationary Lagrangian surfaces whose Gaussian curvature is non-negative and whose mean curvature vector is in some $L^p$ space when the ambient space is a simply connected complex space form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Stationary Lagrangian Surfaces with Non-Negative Gaussian Curvature in Kähler-Einstein Surfaces Coulibaly, Patrik Differential Geometry In this paper, we give some simple conditions under which a Hamiltonian stationary Lagrangian submanifold of a Kähler-Einstein manifold must have a Euclidean factor or be a fiber bundle over a circle. We also characterize the Hamiltonian stationary Lagrangian surfaces whose Gaussian curvature is non-negative and whose mean curvature vector is in some $L^p$ space when the ambient space is a simply connected complex space form. |
| title | Hamiltonian Stationary Lagrangian Surfaces with Non-Negative Gaussian Curvature in Kähler-Einstein Surfaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2401.10517 |