In topology and in calculus, a round function is a scalar function M → R {\displaystyle M\to {\mathbb {R} }} , over a manifold M {\displaystyle M} , whose critical points form one or several connected components, each homeomorphic to the circle S 1 {\displaystyle S^{1}} , also called critical loops. They are special cases of Morse-Bott functions.
In topology and in calculus, a round function is a scalar function M → R {\displaystyle M\to {\mathbb {R} }} , over a manifold M {\displaystyle M} , whose critical points form one or several connected components, each homeomorphic to the circle S 1 {\displaystyle S^{1}} , also called critical loops. They are special cases of Morse-Bott functions.
Source: Wikipedia "Round function" · CC BY-SA 4.0
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