Palais-Smale sequences for the prescribed Ricci curvature functional
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915074483945472 |
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| author | Pulemotov, Artem Ziller, Wolfgang |
| author_facet | Pulemotov, Artem Ziller, Wolfgang |
| contents | We obtain a complete description of divergent Palais-Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As an application, we prove the existence of saddle points on generalized Wallach spaces and several types of generalized flag manifolds. We also describe the image of the Ricci map in some of our examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_08090 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Palais-Smale sequences for the prescribed Ricci curvature functional Pulemotov, Artem Ziller, Wolfgang Differential Geometry We obtain a complete description of divergent Palais-Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As an application, we prove the existence of saddle points on generalized Wallach spaces and several types of generalized flag manifolds. We also describe the image of the Ricci map in some of our examples. |
| title | Palais-Smale sequences for the prescribed Ricci curvature functional |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2309.08090 |