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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.03803 |
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| _version_ | 1866914859328733184 |
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| author | Goodwillie, Thomas G. Hebda, James J. Katz, Mikhail G. |
| author_facet | Goodwillie, Thomas G. Hebda, James J. Katz, Mikhail G. |
| contents | The existence of nontrivial cup products or Massey products in the cohomology of a manifold leads to inequalities of systolic type, but in general such inequalities are not optimal (tight). Gromov proved an {optimal} systolic inequality for complex projective space. We provide a natural extension of Gromov's inequality to manifolds whose fundamental cohomology class is a cup product of 2-dimensional classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extending Gromov's optimal systolic inequality Goodwillie, Thomas G. Hebda, James J. Katz, Mikhail G. Differential Geometry 55N45, 55S30 The existence of nontrivial cup products or Massey products in the cohomology of a manifold leads to inequalities of systolic type, but in general such inequalities are not optimal (tight). Gromov proved an {optimal} systolic inequality for complex projective space. We provide a natural extension of Gromov's inequality to manifolds whose fundamental cohomology class is a cup product of 2-dimensional classes. |
| title | Extending Gromov's optimal systolic inequality |
| topic | Differential Geometry 55N45, 55S30 |
| url | https://arxiv.org/abs/2407.03803 |