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A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton

https://doi.org/10.1007/s00039-024-00668-9

Bamler, Richard H ; Cifarelli, Charles ; Conlon, Ronan J ; Deruelle, Alix ( April 2024 , Geometric and Functional Analysis)

Free, publicly-accessible full text available April 1, 2025
Compactness theory of the space of Super Ricci flows

https://doi.org/10.1007/s00222-023-01196-3

Bamler, Richard H ( September 2023 , Inventiones mathematicae)

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Decomposing 4-manifolds with positive scalar curvature

https://doi.org/10.1016/j.aim.2023.109231

Bamler, Richard H. ; Li, Chao ; Mantoulidis, Christos ( October 2023 , Advances in Mathematics)

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An Optimal Volume Growth Estimate for Noncollapsed Steady Gradient Ricci Solitons

https://doi.org/10.1007/s42543-023-00060-w

Bamler, Richard H. ; Chan, Pak-Yeung ; Ma, Zilu ; Zhang, Yongjia ( September 2023 , Peking Mathematical Journal)

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A new complete two-dimensional shrinking gradient Kähler-Ricci soliton

Bamler, Richard H. ; Cifarelli, Charles ; Conlon, Ronan J. ; Deruelle, Alix ( June 2022 , ArXivorg)

We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of C×P1 at one point. This completes the classification of such solitons in two complex dimensions.
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Four-dimensional steady gradient Ricci solitons with 3-cylindrical tangent flows at infinity

https://doi.org/10.1016/j.aim.2022.108285

Bamler, Richard H ; Chow, Bennett ; Deng, Yuxing ; Ma, Zilu ; Zhang, Yongjia ( June 2022 , Advances in Mathematics)

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Uniqueness and stability of Ricci flow through singularities

https://doi.org/10.4310/ACTA.2022.v228.n1.a1

Bamler, Richard H. ; Kleiner, Bruce ( January 2022 , Acta Mathematica)

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On the rotational symmetry of 3-dimensional κ-solutions

https://doi.org/10.1515/crelle-2021-0037

Bamler, Richard H. ; Kleiner, Bruce ( August 2021 , Journal für die reine und angewandte Mathematik)
null (Ed.)
Abstract In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional κ-solutions.In this paper, we present an alternative proof for this fact and show that compact κ-solutions are rotationally symmetric.Our proof arose from independent work relating to our Strong Stability Theorem for singular Ricci flows.
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The Ricci flow under almost non-negative curvature conditions

https://doi.org/10.1007/s00222-019-00864-7

Bamler, Richard H. ; Cabezas-Rivas, Esther ; Wilking, Burkhard ( July 2019 , Inventiones mathematicae)

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