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An Introduction to the Kähler-Ricci Flow [PDF]
, 2013 This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there have been no such works on the Kähler-Ricci flow.
Boucksom, Sébastien +2 more
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022 In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Zhizhi Chen +4 more
doaj +1 more source
Ricci flow coupled with harmonic map flow [PDF]
, 2011 We investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target manifold N with a (possibly time-dependent) positive coupling constant ...
Müller, Reto
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Ricci flows with unbounded curvature [PDF]
Mathematische Zeitschrift, 2012 Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural for many applications, but is hard to drop because so many new phenomena can occur in the general case.
Gregor Giesen, Peter M. Topping
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On the stability of harmonic maps under the homogeneous Ricci flow
Complex Manifolds, 2018 In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not ...
Prado Rafaela F. do, Grama Lino
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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh +2 more
doaj +1 more source
Cobordism, singularities and the Ricci flow conjecture
Journal of High Energy Physics, 2023 In the following work, an attempt to conciliate the Ricci flow conjecture and the Cobordism conjecture, stated as refinements of the Swampland distance conjecture and of the No global symmetries conjecture respectively, is presented.
David Martín Velázquez +2 more
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Sustained, Reversible, and Adaptive Non‐Equilibrium Steady States of a Dissipative DNA‐Based System
Angewandte Chemie, EarlyView.Continuous supply of an RNA chemical fuel allows sustained non‐equilibrium steady states (NESS) of a dissipative DNA strand‐displacement reaction to be achieved. The system can dynamically adapt in real‐time to subtle on‐the‐fly variations of fuel supply, demonstrating remarkable control over a dissipative process, which is unachievable when using ...
James D. Nicholas +5 more
wiley +2 more sources
Ricci Solitons and Einstein-Scalar Field Theory
, 2009 B List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by a certain diffeomorphism.
Anderson M T +20 more
core +3 more sources
A note on conformal Ricci flow [PDF]
Pacific Journal of Mathematics, 2014 In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds.
Lu, Peng, Qing, Jie, Zheng, Yu
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