Results 21 to 30 of about 1,732 (226)
Local Singularity Theory for Ricci and Harmonic Ricci Flows [PDF]
, 2021 In this thesis, we study the analytical properties of harmonic Ricci flows and Ricci flows in presence of a fi nite time singularity. After recalling some well-known results from the theories of these flows, we start our analysis considering Type I ...
Di Matteo, G
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The Homology of Warped Product Submanifolds of Spheres and Their Applications
Mathematics, 2023 The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups.
Lamia Saeed Alqahtani +3 more
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The Cotton Tensor and the Ricci Flow [PDF]
Geometric Flows, 2017 AbstractWe compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
Carlo Mantegazza +2 more
openaire +4 more sources
Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows [PDF]
Geometry & Topology, 2021 We extend the concept of singular Ricci flow by Kleiner and Lott from 3d compact manifolds to 3d complete manifolds with possibly unbounded curvature. As an application of the generalized singular Ricci flow, we show that for any 3d complete Riemannian manifold with non-negative Ricci curvature, there exists a smooth Ricci flow starting from it.
openaire +2 more sources
Geometry In The Large Of Ricci Flows [PDF]
, 2022 Ricci flow is a powerful and fundamentally innovative tool in the field of geometric analysis introduced by Richard Hamilton [Ha82] in 1982. Many longstanding geometric and topological problems have been solved using Ricci flow. For example, the Poincaré
Ma, Zilu
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Compactness theory of the space of Super Ricci flows
, 2021 We develop a compactness theory for super Ricci flows, which lays the foundations for the partial regularity theory in [Bam20b]. Our results imply that any sequence of super Ricci flows of the same dimension that is pointed in an appropriate sense ...
Bamler, Richard H
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Strings in bimetric spacetimes
Journal of High Energy Physics, 2021 We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Hořava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a curved spacetime
Ziqi Yan
doaj +1 more source
Super Ricci flows for weighted graphs
, 2020 Erbar M, Kopfer E. Super Ricci flows for weighted graphs. J. Funct. Anal. 2020;279(6):108607.We present a notion of super Ricci flow for time-dependent finite weighted graphs.
Erbar, Matthias, Kopfer, Eva
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Ricci flows with non-compact initial conditions [PDF]
, 2021 First, we show that a Ricci flow can be started from a non-compact complete manifold, if the manifold is non-collapsed and satisfies a lower bound for many known curvature conditions.In this theorem, we do not need the manifold to have bounded curvature,
Lai, Yi
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European Physical Journal C: Particles and Fields, 2020 This work consists an introduction to the classical and quantum information theory of geometric flows of (relativistic) Lagrange–Hamilton mechanical systems.
Sergiu I. Vacaru
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