Results 131 to 140 of about 9,543 (234)
, 2015 Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions.
Chow, Bennett +3 more
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Navigating string theory field space with geometric flows
Journal of High Energy PhysicsThe Swampland Distance Conjecture postulates the emergence of an infinite tower of massless states when approaching infinite-distance points in moduli space.
Saskia Demulder +2 more
doaj +1 more source
Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.
Alexander Zuevsky
doaj +1 more source
, 2007 Let (Mn, g) be a Riemannian manifold. Say K ! E ! M is a principal K-bundle with connection A. We define a natural evolution equation for the pair (g,A) combining the Ricci flow for g and the Yang-Mills flow for A which we dub Ricci Yang-Mills flow ...
Streets, Jeffrey D.
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Stability of hyperbolic space under Ricci flow
, 2010 We study the Ricci flow of initial metrics which are C^0-perturbations of the hyperbolic metric on H^n. If the perturbation is bounded in the L^2-sense, and small enough in the C^0-sense, then we show the following: In dimensions four and higher, the ...
Simon, Miles +2 more
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Ricci Solitons in β-Kenmotsu Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 The object of the present paper is to study Ricci soliton in β-Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β-Kenmotsu manifold is a constant multiple of the metric tensor.
Kumar Rajesh
doaj +1 more source
The conjugate linearized Ricci flow on closed 3-manifolds [PDF]
, 2009 We characterize the conjugate linearized Ricci flow and the associated backward heat kernel on closed three--manifolds of bounded geometry. We discuss their properties, and introduce the notion of Ricci flow conjugated constraint sets which ...
Carfora, Mauro
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The Ricci flow on the 2-sphere
Journal of Differential Geometry, 1991 The classical uniformization theorem, interpreted differential geomet-rically, states that any Riemannian metric on a 2-dimensional surface ispointwise conformal to a constant curvature metric. Thus one can con-sider the question of whether there is a natural evolution equation whichconformally deforms any metric on a surface to a constant curvature ...
openaire +2 more sources
Ricci Flow for 3D Shape Analysis
, 2020 Ricci flow is a powerful curvature flow method in geometric analysis. This work is the first application of surface Ricci flow in computer vision.
Sen Wang +6 more
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Harmonic Spinors in the Ricci Flow
This paper provides a new definition of the Ricci flow on closed manifolds admitting harmonic spinors. It is shown that Perelman’s Ricci flow entropy can be expressed in terms of the energy of harmonic spinors in all dimensions, and in four dimensions ...
Baldauf, Julius
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