Shiing-Shen Chern

"Integral geometry, started by the English geometer M. W. Crofton, has received recently important developments through the works of W. Blaschke, L. A. Santaló, and others. Generally speaking, its prin…"

"Not all the geometrical structures are "equal". It would seem that the riemannian and complex structures, with their contacts with other fields of mathematics and with their richness in results, shoul…"

"The main object of study in differential geometry is, at least for the moment, the differential manifolds, structures on the manifolds , and their admissible mappings. On a manifold the coordinates ar…"

"It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or parataxy has many interesting properties. A group-theoretical reason for the most impo…"

"In 1917 Levi-Civita discovered his celebrated parallelism which is an infinitesimal transportation of tangent vectors preserving the scalar product and is the first example of a connection. The salien…"

"The treatises of Darboux and Bianchi on surface theory are among the great works in the mathematical literature. They are: G. Darboux, Théorie générale des surfaces, Tome 1 , 2 , 3 , 4 , and later edi…"