Results 81 to 90 of about 4,659,666 (289)
Propagation of symmetries for Ricci shrinkers
Advanced Nonlinear Studies, 2023 We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck +1 more
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The local entropy along Ricci flow---Part A: the no-local-collapsing theorems [PDF]
, 2017 We localize the entropy functionals of G. Perelman and generalize his no-local-collapsing theorem and pseudo-locality theorem. Our generalization is technically inspired by further development of Li-Yau estimate along the Ricci flow.
B. Wang
semanticscholar +1 more source
On the Uniqueness of Ricci Flow
The Journal of Geometric Analysis, 2018 All comments are welcome!
openaire +3 more sources
A design tool for globally developable discrete architectural surfaces using Ricci flow
Japan Architectural Review, 2023 This paper presents an approach for the design of discrete architectural surfaces that are globally developable; that is, having zero Gaussian curvature at every interior node.
Jingyao Zhang, Makoto Ohsaki
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The Ricci flow for nilmanifolds
Journal of Modern Dynamics, 2010 We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner product and the evolution of structure constants, as well as the evolution of these quantities modulo rescaling.
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Angewandte Chemie International Edition, Accepted Article.We herein introduce a method for the direct a‐amination of different carbonyl compounds by employing aqueous ammonia as the N‐source. Upon using NH3 in combination with hypochlorites as simple oxidants under phase‐transfer catalytic conditions it is possible to carry out the direct a‐amination of reactive enolate‐precursors such as cyclic b‐ketoesters,
Christopher Mairhofer +6 more
wiley +1 more source
Topological Signals of Singularities in Ricci Flow
Axioms, 2017 We implement methods from computational homology to obtain a topological signal of singularity formation in a selection of geometries evolved numerically by Ricci flow.
Paul M. Alsing +6 more
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Deformation classes in generalized Kähler geometry
Complex Manifolds, 2020 We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry.
Gibson Matthew, Streets Jeffrey
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General Relativity and the Ricci Flow [PDF]
arXiv, 2022 In Riemannian geometry, the Ricci flow is the analogue of heat diffusion; a deformation of the metric tensor driven by its Ricci curvature. As a step towards resolving the problem of time in quantum gravity, we attempt to merge the Ricci flow equation with the Hamilton-Jacobi equation for general relativity.
arxiv
On the Conditions to Extend Ricci Flow [PDF]
International Mathematics Research Notices, 2008 We develop some estimates under the Ricci flow and use these estimates to study the blowup rates of curvatures at singularities. As applications, we obtain some gap theorems: $\displaystyle \sup_X |Ric|$ and $\displaystyle \sqrt{\sup_X |Rm|} \cdot \sqrt{\sup_X |R|}$ must blowup at least at the rate of type-I.
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