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Geometry & Topology Seminar

Title: Steady gradient Ricci solitons with positive curvature operators
Speaker: Yi Lai (UC Berkeley)
Date: 01 September 2021
Time: 9:00 pm
Venue: MS teams (team code hiq1jfr)

We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at infinity. The 3d flying wings are collapsed. For dimension n ≥ 4, we find a family of Z2 × O(n − 1)-symmetric but non-rotationally symmetric n-dimensional steady gradient solitons with positive curvature operators. We show that these solitons are non-collapsed.


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 06 Dec 2021