Yuan-Jen Chiang, professor of mathematics, coauthored a research article “Transversally f-harmonic and Transversally f-biharmonic Maps between Foliated Manifolds” published in the JP Journal of Geometry and Topology. It generalizes their previous joint publication concerning the 4th order elliptic systems of partial differential equations of foliated Riemannian manifolds.
Yuan-Jen Chiang Co-Authors Research Article
February 20, 2013 by
About Brynn BoyerBrynn Boyer is assistant director of media and public relations and a 2010 graduate of UMW.
Jen Chiang is an exceptionally excellent mathematician and teacher. Ever since Jen came to MWU she has continued to progress as a professional in the area of topology known as “Manifolds”. In 1917 Einstein viewed our universe as the 3-dimensional manifold known as the 3-sphere, and during the 1300s AD Dante Alighieri used the 3-sphere manifold to convey his allegorical vision of the Christian afterlife. Think about it! Topology did not develop until the 20th century and it was then that the mathematics of manifolds became more and more a major focus. Today, when I think about a 3-sphere, I still cannot understand how Dante (or anyone living in 1300AD) could even think or try to understand a 3-sphere without topology — but Dante desribed it!
So Jen, it is great to see you contributing to the advance of such an historical area of human life and mathematics.
Question for the day — What does the intersection of a line and a 3-sphere in the 4th dimension look like? Answer, see my new book “INCIPIT (here begins) Art meets Mathematics in the Fourth Dimension” whebever it is finally published.
Congratulations Jen!