Tuesday, December 16, 2008
Twenty-nineth Annotation
http://owpdb.mfo.de/detail?photo_id=7484
This is a primary source and it is a phtotgraph, which was taken by Jacobs Konrad in Oberwolfach.
Twenty-eighth Annotation
http://www.onpedia.com/encyclopedia/Shiing-shen-Chern
This is a website, which had a detailed information about Chern's life.
He was born in Kashing, Chekiang Province in China (today known as Jiaxing in Zhejiang province). He moved to Tientsin (today known as Tianjin) in 1922 to be with his father, and from 1926 he was a student at Nankai University in that city, graduating in mathematics in 1930. He was a master student under Dan SUN at Tsing Hua University from 1931 to 1934, working on projective differential geometry. He died at Nankai University, Tianjin at the age of 93. The asteroid 29552 Chern is named after him.
Twenty-seventh Annotation
http://www.math.columbia.edu/~woit/wordpress/archives/000118.html
This is a secondary source, people responsed to the death of our greatest mathematician Chern.
Anonymous says:
December 6, 2004 at 2:19 pm
Sad news indeed. He seems to have been generous and an excellent mentor as well. Among his many outstanding students was the Fields Medallist Shing-Tung Yau of Calabi-Yau fame.
D R Lunsford says:
December 12, 2004 at 10:06 pm
I love the mathematical asides - otherwise I’d probably never know what was happening out there.
-drl
Twenty-sixth Annotation
http://www.aps-pub.com/proceedings/1511/151109.pdf
This is article contain one of Chern's picture, but it was wrote by Hung Hsi Wu, a professor of mathematical, but was created after Chern was died.
The whole article most described the efforts Chern had done on mathematical, and it is a really good article.
Twenty-fifth Annotation
http://www.encyclopedia.com/doc/1E1-stringth.html
An website given the definition for string theory. And this is a secondary source.
String theory description of elementary particles based on one-dimensional curves, or "strings," instead of point particles. The strings are embedded in a space-time having as many as 10 dimensions—the three ordinary dimensions plus time and seven compactified dimensions.
Twenty-fourth Annotation
http://www.encyclopedia.com/doc/1E1-ChernSS.html
This is a secondary source, which had informed me the works Chern had done on geometry field.
Studying the curvature of surfaces in spaces with more than three dimensions, he devised mathematical quantities that he called characteristic classes—now known as Chern classes—that differentiated different types of surfaces. The fields on which he had the greatest impact, global differential geometry and complex algebraic geometry, are fundamental to many areas of mathematics and theoretical physics, and his work at the foundation of gauge theory and string theory, among the most important developments of modern theoretical physics.
Twenty-third Annotation
http://www.answers.com/topic/generalized-gauss-bonnet-theorem
This website gives me an idea of what generalized-Gauss-Bonnet theorem is, and this is a secondary source. In mathematics, the generalized-Gauss-Bonnet theorem ('also called Chern-Gauss -Bonnet theorem) presents the Euler characteristic of a closed even-dimensional Riemannian manifold as an integral of a certain polynomial derived from its curvature. It is a direct generalization of the Gauss-Bonnet theorem to higher dimensions.
