"The main object of study in differential geometry is, at least for the moment, the differential manifolds, structures on the manifolds (Riemannian, complex, or other), and their admissible mappings. On a manifold the coordinates are valid only locally and do not have a geometric meaning themselves."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Mathematicians from the United StatesNational Medal of Science laureatesWolf Prize in Mathematics laureatesUniversity of California, Berkeley facultyMathematicians from China
Original Language: English
Available Languages (1)
Sources
Imported from EN Wikiquote
https://en.wikiquote.org/wiki/Shiing-Shen_Chern
Revision History
No revisions have been submitted for this quote.
Categories
Shiing-Shen Chern
Shiing-Shen Chern (陳省身 October 26, 1911 – December 3, 2004) was a Chinese-American mathematician and poet. He made fundamental contributions to differential geometry and topology. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize.
9 quotes on TrueQuotesView all quotes by Shiing-Shen Chern →
Related Quotes
"It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or par…"
"In 1917 Levi-Civita discovered his celebrated parallelism which is an infinitesimal transportation of tangent vectors…"
"Integral geometry, started by the English geometer M. W. Crofton, has received recently important developments throug…"
"Not all the geometrical structures are "equal". It would seem that the riemannian and complex structures, with their …"
"The treatises of Darboux (1842–1917) and Bianchi (1856–1928) on surface theory are among the great works in the mathe…"
"I have no doubt that future historians of differential geometry will rank Chern as the worthly successor of Elie Cart…"
"Recently, having refreshed my understanding of the mathematics of relativity theory, I called one of my old Berkeley …"
"S. S. Chern revolutionized differential geometry with the use of moving frames, the invention of characteristic class…"
"I think that by constantly questioning what goes on around them, writers end up with the gift of foresight."
"Creative writing programs are an invention of American universities. In the Francophone world we believe that the pow…"