5 citations · 13 across the 12 of their papers we have counts for
4 papers · 1 filter
Some New Results in Geometric Analysis
Matei P. Coiculescu
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 curv…
Stationary Solutions of the Curvature Preserving Flow on Space Curves
Matei P. Coiculescu
We study a geometric flow on curves, immersed in , that have strictly positive torsion. The evolution equation is given by where…
An Interpolation from Sol to Hyperbolic Space
Matei P. Coiculescu
We study a one-parameter family of nonisomorphic solvable Lie groups, which, when equipped with canonical left-invariant metrics, becomes an i…
The Spheres of Sol
Matei P. Coiculescu, Richard Evan Schwartz
Let Sol be the three-dimensional solvable Lie group equipped with its standard left-invariant Riemannian metric. We give a precise description of the cut locus of the identity, and…