BEIJING, June 4
(Xinhua) -- A leading Chinese mathematician Yang Le said here Sunday that the
successful unraveling of one of the world's toughest puzzles is an outstanding
|Foreign member of the Chinese Acadamy of
Sciences, Professor Shing-Tung Yau (2nd R) from Harvard University
introduce the Poincare Conjecture to journalists in Beijing, capital of
China, June 3, 2006. (Xinhua
Two Chinese mathematicians, Zhu Xiping and Cao
Huaidong, have put the final pieces together in the solution to the puzzle that
has perplexed scientists around the globe for more than a century.
The two scientists have published a paper in the latest U.S.-based Asian Journal of Mathematics
, providing complete proof of the
Poincare Conjecture promulgated by French mathematician Henri Poincare in 1904.
A Columbia professor Richard Hamilton and a Russian
mathematician Grigori Perelman have laid foundation on the latest endeavors made
by the two Chinese. Prof. Hamilton completed the majority of the program and the
Yang, member of the Chinese Academy of Sciences, said
in an interview with Xinhua, "All the American, Russian and Chinese
mathematicians have made indispensable contribution to the complete proof."
Prof. Zhu at Guangzhou-based Zhongshan University and
Prof. Cao at Lehigh University in Pennsylvania co-authored the 300-page paper,
"The Hamilton-Perelman Thoery of Ricci Flow-The Poincare and Geometization
Conjecture," which was published in the June issue of the journal.
"The total length of Perelman's work on the
conjecture by the end of 2002 was about 70 pages," said Yang, citing that
Perelman raised guidelines for proving the conjecture but not specifically
pointed out how to unravel the puzzle.
"Guidelines are totally different to complete proof
of theories," Yang said.
Xinhua correspondents contacted Prof. Cao for many times and finally got a
telephone interview. Prof. Cao said, "Under the guidance of Prof. (Shing-Tung) Yau --
a Harvard mathematics professor, Xiping and I worked for the conjecture in more than
"The latest find will be good for our future work,"
Prof. Cao said.
Harvard mathematics professor Shing-Tung Yau, winner
of the Fields Prize, said the excellent job done by Zhu and Cao was the final
strike on a global collaborative work for a complete proof.
Prof. Yau, co-editor-in-chief of the Asian Journal of
Mathematics, said, "All the 31 members of our editorial board are meticulously
critical, and we must have consensus on any articles which will appear in our
Zhu and Cao were invited last September by the
Harvard Mathematics Department to conduct academic exchange at Harvard. In the
following half year, they spent three hours every week to explain their work to
five Harvard mathematicians.
Yau rated the conjecture as one of the major
mathematical puzzles of the 20th Century.
"The conjecture is that if in a closed
three-dimensional space, any closed curves can shrink to a point continuously,
this space can be deformed to a sphere," he said.
By the end of the 1970s, U.S. mathematician William
P. Thurston had produced partial proof of Poincare's Conjecture on geometric
structure, and was awarded the Fields Prize for the achievement.
"The findings would help scientists to further
understand three-manifolds geometrization and heavily influence the development
of physics and engineering," said Yau, who will himself explain the methodology
of proving the Poincare Conjecture to the 2006 International Conference on
String Theory, which is expected in late June in Beijing. Enditem