Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2103.15594 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909561580945408 |
|---|---|
| author | Coiculescu, Matei P. |
| author_facet | Coiculescu, Matei P. |
| contents | This thesis presents three results in geometric analysis. We first analyze the curve-shortening flow on figure eight curves in the plane. Afterwards, we examine the point-wise curvature preserving flow on space curves. Lastly, we present an abridgment of our work on a family of three-dimensional Lie groups, which, when equipped with canonical left-invariant metrics, interpolate between Sol and hyperbolic space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_15594 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Some New Results in Geometric Analysis Coiculescu, Matei P. Differential Geometry This thesis presents three results in geometric analysis. We first analyze the curve-shortening flow on figure eight curves in the plane. Afterwards, we examine the point-wise curvature preserving flow on space curves. Lastly, we present an abridgment of our work on a family of three-dimensional Lie groups, which, when equipped with canonical left-invariant metrics, interpolate between Sol and hyperbolic space. |
| title | Some New Results in Geometric Analysis |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2103.15594 |