My area of research, if you can say that I still have an area of research, is geometric topology. Yes, despite everything, I’ve managed to stay moderately active. 229 more words

## Tags » Ricci Flow

#### Introduction to Ricci Flow & Poincare Conjecture

This is an interesting introduction to some extremely advanced Math: Ricci Flow & Poincare Conjecture!

Ricci Flow was used to finally crack the PoincarĂ© Conjecture. It was devised by Richard Hamilton but famously employed by Grigori Perelman in his acclaimed proof. 44 more words

#### "Metric geometry and analysis of 4-manifolds" by Gang Tian

A brief introduction to Perelman’s main advances on Ricci flow inÂ his solution and then discuss some counterparts in 4-dimension and their topological and geometric consequences. 16 more words

#### Cramer-Rao bound and Ricci flow II

The paper I presented about this matter (see here) has been accepted by EuRad 2009 Conference. This will result in a publication in IEEE Proceedings. 217 more words

#### Cramer-Rao bound and Ricci flow

Two dimensional Ricci flow is really easy to manage. In this case the equation takes a very simple form and a wealth of results can be extracted. 342 more words

#### Ricci flow as a stochastic process

Yesterday I have posted a paper on arxiv (see here). In this work I prove a theorem about Ricci flow. The question I give an answer is the following. 211 more words

#### Ricci solitons in two dimensions

Today I have read recent changes to DispersiveWiki. This is a beautiful site about differential equations that is maintained at University of Toronto by… 240 more words