Expanding Ricci solitons asymptotic to cones

• Published in: Calculus of variations and partial differential equations Vol. 51; no. 1-2; pp. 1 - 15
• Main Author: Chodosh, Otis
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2014; Springer Nature B.V
• Subjects: Analysis; Asymptotic methods; Asymptotic properties; Calculus of variations; Calculus of Variations and Optimal Control; Optimization; Cones; Control; Infinity; Mathematical analysis; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Partial differential equations; Solitons; Symmetry; Systems Theory; Theoretical; 53C24; 53C44

We show that an expanding gradient Ricci soliton which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.