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Following the recent observation that the Ricci flow and the infinite distance swampland conjecture are closely related to each other, we will investigate in this paper geometric flow equations for AdS space-time geometries.
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S.W. Hawking · 1976
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Ricci curvature and Einstein metrics
Jean Pierre Bourguignon · 1981
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Three-manifolds with positive ricci curvature
Richard S. Hamilton · 1982
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Thermodynamics of Black Holes in anti-De Sitter Space
S.W. Hawking and Don N. Page · 1983
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The Riemannian manifold of all Riemannian metrics
Olga Gil-Medrano and Peter W. Michor · 1991
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Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Edward Witten · 1998
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The Ricci Flow: An Introduction: An Introduction
Bennett Chow and Dan Knopf · 2004
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Convergence of the yamabe flow for arbitrary initial energy
Simon Brendle · 2005
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Ioannis Bakas · 2006
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Matthew Headrick and Toby Wiseman · 2006
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Grisha Perelman · 2006
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Lectures on the ricci flow
Peter M. Topping · 2006
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Simon Brendle · 2007
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On the Geometry of the String Landscape and the Swampland
The ricci-bourguignon flow
Carlo Mantegazza, Giovanni Catino, Laura Cremaschi, Zindine Djadli, and Lorenzo Mazzieri · 2015
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Yamabe Flow: steady solitons and type II singularities
Beomjun Choi and Panagiota Daskalopoulos · 2017
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Schwarzschild black hole in anti-de sitter space
Miguel Socolovsky · 2018
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Infinite Black Hole Entropies at Infinite Distances and Tower of States
Quentin Bonnefoy, Luca Ciambelli, Dieter Lüst, and Severin Lüst · 2019
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AdS and the Swampland
Dieter Lüst, Eran Palti, and Cumrun Vafa · 2019
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The Swampland: Introduction and Review
Eran Palti · 2019
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Hirosi Ooguri and Cumrun Vafa · 2007
Cited alongside, same era.
Swampland, Gradient Flow and Infinite Distance
Alex Kehagias, Dieter Lüst, and Severin Lüst · 2020
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