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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.01355 |
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| _version_ | 1866909521385881600 |
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| author | Koike, Naoyuki Nakaoka, Sakura |
| author_facet | Koike, Naoyuki Nakaoka, Sakura |
| contents | In this paper, we illustrate the behaviour of the mean curvature flows starting from principal orbits of any commuting Hermann action of cohomogeneity two on irreducible rank two Riemannian symmetric spaces of compact type by using Mathematicae. In more detail, we illustrate the velocity vector fields of the curves (determined by the flows) on the orbit space (which is a 2-simplex) of the Hermann action by using Mathematcae. Also, we calculate the position of the point of the orbit space corresponding to the only minimal principal orbit of the Hermann action by using Mathematicae. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mean curvature flow for principal orbits of Hermann actions on rank two symmetric spaces Koike, Naoyuki Nakaoka, Sakura Differential Geometry In this paper, we illustrate the behaviour of the mean curvature flows starting from principal orbits of any commuting Hermann action of cohomogeneity two on irreducible rank two Riemannian symmetric spaces of compact type by using Mathematicae. In more detail, we illustrate the velocity vector fields of the curves (determined by the flows) on the orbit space (which is a 2-simplex) of the Hermann action by using Mathematcae. Also, we calculate the position of the point of the orbit space corresponding to the only minimal principal orbit of the Hermann action by using Mathematicae. |
| title | Mean curvature flow for principal orbits of Hermann actions on rank two symmetric spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.01355 |