Global differential geometry was only beginning, even Morse theory was understood and used by a very small number of people. Today, differential geometry is a major subject in mathematics and a large share of the credit for this transformation goes to Professor Chern.
Global kaugalian geometry ay simula lamang, kahit Morse teorya ay nauunawaan at ginagamit ng isang maliit na bilang ng mga tao. Ngayon, kaugalian geometry ay isang pangunahing paksa sa matematika at sa isang malaking share ng credit para sa mga pagbabagong ito ay pumunta sa Professor Chern.