Transverse geometric formality
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913354378903552 |
|---|---|
| author | Habib, Georges Richardson, Ken Wolak, Robert |
| author_facet | Habib, Georges Richardson, Ken Wolak, Robert |
| contents | A Riemannian metric on a closed manifold is said to be geometrically formal if the wedge product of any two harmonic forms is harmonic; equivalently, the interior product of any two harmonic forms is harmonic. Given a Riemannian foliation on a closed manifold, we say that a bundle-like metric is transversely geometrically formal if the interior product of any two basic harmonic forms is basic harmonic. In this paper, we examine the geometric and topological consequences of this condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transverse geometric formality Habib, Georges Richardson, Ken Wolak, Robert Differential Geometry 53C12, 53C25, 58A14 A Riemannian metric on a closed manifold is said to be geometrically formal if the wedge product of any two harmonic forms is harmonic; equivalently, the interior product of any two harmonic forms is harmonic. Given a Riemannian foliation on a closed manifold, we say that a bundle-like metric is transversely geometrically formal if the interior product of any two basic harmonic forms is basic harmonic. In this paper, we examine the geometric and topological consequences of this condition. |
| title | Transverse geometric formality |
| topic | Differential Geometry 53C12, 53C25, 58A14 |
| url | https://arxiv.org/abs/2405.10867 |