2 Matching Annotations
- Dec 2021
-
www.quantamagazine.org www.quantamagazine.org
-
Mathematicians already had a method, known as Morse theory, for studying these critical points.
Morse theory can be used to study critical points.
-
- Jun 2021
-
en.wikipedia.org en.wikipedia.org
-
To put it succinctly, differential topology studies structures on manifolds that, in a sense, have no interesting local structure. Differential geometry studies structures on manifolds that do have an interesting local (or sometimes even infinitesimal) structure.
Differential topology take a more global view and studies structures on manifolds that have no interesting local structure while differential geometry studies structures on manifolds that have interesting local structures.
-