Some New Results in Geometric Analysis
Differential Geometry
2025-04-03 v4
Abstract
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.
Cite
@article{arxiv.2103.15594,
title = {Some New Results in Geometric Analysis},
author = {Matei P. Coiculescu},
journal= {arXiv preprint arXiv:2103.15594},
year = {2025}
}
Comments
Undergraduate thesis, Brown University, 72 pages. Further clarifications made in Chapter 2. arXiv admin note: text overlap with arXiv:2005.06430