Research profile

Amanda Hirschmann

Works on Poincaré conjecture, geometrization and 4-manifolds.

NP-RC-011073

5
topics
RSS

Elsewhere arXiv listing

From the tags on their papers

Research focus

The topics of these papers. Tags are assigned automatically, so they point to a subject rather than judge the work.

Poincaré conjectureGeometrization4-manifoldsHomogeneous spacesRicci flow

Who they write with

Co-authors

The people they have written with on this site.

  1. Thomas Bell

    1 joint worklatest 2017

Newest first

Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2017

math.DGarXiv:1708.00869

Ricci Flow of Compact Locally Homogeneous Geometries on 5-Manifolds

Amanda Hirschmann, Thomas Bell

This project serves to analyze the behavior of Ricci Flow in five dimensional manifolds. Ricci Flow was introduced by Richard Hamilton in 1982 and was an essential tool in proving the Geometrization and Poincare Conjectures. In general, Ricci Flow is a nonlinear PDE whose solutions are rather difficult to calculate; however, in a homogeneous manifold, the Ricci Flow reduces to an ODE. The behavior of Ricci Flow in two, three, and four dimensional homogenous manifolds has been calculated and is well understood. The work presented here will describe efforts to better understand the behavior of Ricci Flow in a certain class of five dimensional homogeneous manifolds.

Ricci flowPoincaré conjectureGeometrization4-manifoldsHomogeneous spaces
View paper Connections

This number in this community

About this page

Is this your page?

It is yours to shape. Send anything that should be added or corrected: your preferred spelling, an ORCID, a homepage, a line about your work. Or ask for the page to be removed. Someone reads every message. Mention NP-RC-011073 so it reaches the right page.

Add or correct informationAdd an ORCIDTools for this page

What this page covers

NP-RC-011073 is Amanda Hirschmann's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.