Results 61 to 70 of about 103,878 (263)
Stability of ALE Ricci-Flat Manifolds Under Ricci Flow [PDF]
The Journal of Geometric Analysis, 2020 AbstractWe prove that if an ALE Ricci-flat manifold (M, g) is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e. any Ricci flow starting close togexists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close tog. By adapting Tian’s approach in the closed case, we show that integrability holds for
Alix Deruelle, Klaus Kröncke
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Қарағанды университетінің хабаршысы. Математика сериясыIn the present paper sets related to invariant Riemannian metrics of positive sectional and (or) Ricci curvature on generalized Wallach spaces are considered.
N.A. Abiev
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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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PM&R, EarlyView.Abstract Objective To assess the potential prognostic role of sonographic parameters such as glenohumeral joint effusion, subacromial‐subdeltoid bursitis, and the type of intratendinous calcific deposition to predict the clinical and functional outcomes of focal extracorporeal shockwave therapy (fESWT) in patients with calcific tendinopathy of the ...
Arianna Pesaresi +6 more
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Eigenvalue lower bounds and splitting for modified Ricci flow
Advanced Nonlinear StudiesWe prove sharp lower bounds for eigenvalues of the drift Laplacian for a modified Ricci flow. The modified Ricci flow is a system of coupled equations for a metric and weighted volume that plays an important role in Ricci flow.
Colding Tobias Holck +1 more
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Monotonicity of eigenvalues of Witten-Laplace operator along the Ricci-Bourguignon flow
AIMS Mathematics, 2017 In this article we will investigate monotonicity for the first eigenvalue problem of the Witten-Laplace operator acting on the space of functions along the Ricci-Bourguignon flow on closed manifolds.
Shahroud Azami
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Hurdles to overcome to achieve biostimulant‐driven, low chemical input crop production
PLANTS, PEOPLE, PLANET, EarlyView.Crop production requires considerable chemical inputs that result in significant greenhouse gas emissions and other environmental costs. Biostimulants are natural agents, such as microorganisms or seaweed, applied to plants and soil to stimulate plant growth and reduce chemical inputs. Biostimulant use is rapidly increasing globally, but hurdles remain,
Wolfram Buss +6 more
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Mean curvature flow in a Ricci flow background
, 2012 Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow.
B. Kleiner +14 more
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Stability of piecewise flat Ricci flow in three dimensions
Journal of Numerical Analysis and Approximation TheoryFor a recently developed piecewise flat approximation of the Ricci flow, numerical instabilities are seen to arise for a particularly useful class of mesh-types.
Rory Conboye
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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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