Results 1 to 10 of about 16 (16)
A regularized gradient flow for the p-elastic energy
Advances in Nonlinear Analysis, 2022 We prove long-time existence for the negative L2{L}^{2}-gradient flow of the p-elastic energy, p≥2p\ge 2, with an additive positive multiple of the length of the curve.
Blatt Simon +2 more
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Advances in Nonlinear Analysis, 2023 This article presents new local and global gradient estimates of Li-Yau type for positive solutions to a class of nonlinear elliptic equations on smooth metric measure spaces involving the Witten Laplacian.
Taheri Ali, Vahidifar Vahideh
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Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
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Smooth long‐time existence of Harmonic Ricci Flow on surfaces
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 277-304, February 2017., 2017 Abstract We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long‐time existence for the Harmonic Ricci Flow with large coupling constant.
Reto Buzano, Melanie Rupflin
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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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A survey on Inverse mean curvature flow in ROSSes
Complex Manifolds, 2017 In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces.
Pipoli Giuseppe
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A new proof of the bound for the first Dirichlet eigenvalue of the Laplacian operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we present a new proof of the upper and lower bound estimates for the first Dirichlet eigenvalue λ1D(B(p,r))$\lambda _1^D \left({B\left({p,r} \right)} \right)$ of Laplacian operator for the manifold with Ricci curvature Rc ≥ −K, by using
Li Chang-Jun, Gao Xiang
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2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +3 more
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Advanced Nonlinear StudiesIn this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class of nonlinear parabolic equations involving the Witten or drifting Laplacian
Taheri Ali, Vahidifar Vahideh
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A minimising movement scheme for the <i>p</i>-elastic energy of curves. [PDF]
J Evol Equ, 2022 Blatt S, Hopper CP, Vorderobermeier N.
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