Results 1 to 10 of about 43 (43)
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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Global solutions for a new geometric flow with rotational invariance [PDF]
, 2017 In this paper we introduce a new geometric flow with rotational invariance and prove the existence of a global solution.
Qiang Ru +3 more
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Interpolation between the isoperimetric ratio and curvature for plane curves and an application to curvature flows with non-local terms [PDF]
, 2019 埼玉大学博士(理学)47 p.Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio.
中村, 恒平 +1 more
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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
wiley +1 more source
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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The ideal flow for planar closed curves with local length constraint
Advances in Nonlinear AnalysisWe construct the L 2-gradient flow of the ideal functional, which is defined as the squared integral of the derivative of curvature, under the local length constraint.
Okabe Shinya, Yamaguchi Hikaru
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