Results 11 to 20 of about 46,857,055 (316)
Quantitative rigidity results for conformal immersions [PDF]
, 2014 In this paper we prove several quantitative rigidity results for conformal immersions of surfaces in $\mathbb{R}^n$ with bounded total curvature. We show that (branched) conformal immersions which are close in energy to either a round sphere, a conformal
Huy, The Nguyen, Tobias Lamm
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Rigidity and Non-rigidity Results on the Sphere [PDF]
Communications in Analysis and Geometry, 2006 It is a simple consequence of the maximum principle that a superharmonic function u on Rn(i. e. ∆u ≤ 0) which is 1 near infinity is identically 1 on Rn (throughout this paper, n ≥ 3). Geometrically this means that one can not conformally deform the Euclidean metric in a bounded region without decreasing the scalar curvature somewhere.
Fengbo Hang, Xiaodong Wang
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Onofri inequalities and rigidity results
Discrete and Continuous Dynamical Systems, 2017 This paper is devoted to the Moser-Trudinger-Onofri inequality on smooth compact connected Riemannian manifolds. We establish a rigidity result for the Euler-Lagrange equation and deduce an estimate of the optimal constant in the inequality on two-dimensional closed Riemannian manifolds.
Dolbeault, Jean +2 more
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Rigidity and Non-existence Results for Collapsed Translators [PDF]
International Mathematics Research Notices, 2023 Abstract We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R}^{3}$ of width $\pi $ and bounded from below.
Impera, Debora +2 more
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Rigidity results on Liouville equation
Communications in Analysis and Geometry, 2022 14 ...
Eremenko, Alexandre +3 more
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Rigidity results for Hermitian-Einstein manifolds
Mathematical Proceedings of the Royal Irish Academy, 2016 V4. Some typos corrected. To appear in Math. Proc. Roy.
Hall, S. J., Murphy, T.
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Two Rigidity Results for Stable Minimal Hypersurfaces [PDF]
Geometric and Functional Analysis, 2022 AbstractThe aim of this paper is to prove two results concerning the rigidity of complete, immersed, orientable, stable minimal hypersurfaces: we show that they are hyperplane in R4, while they do not exist in positively curved closed Riemannian (n+1)-manifold when n≤5; in particular, there are no stable minimal hypersurfaces in Sn+1 when n≤5.
Catino, Giovanni +2 more
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Rigidity results for some boundary quasilinear phase transitions [PDF]
, 2008 We consider a quasilinear equation given in the half-space, i.e. a so called boundary reaction problem. Our concerns are a geometric Poincar\'e inequality and, as a byproduct of this inequality, a result on the symmetry of low-dimensional bounded stable ...
Sire, Yannick, Valdinoci, Enrico
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Rigidity results for L-operator algebras and applications [PDF]
Advances in Mathematics, 2019 v3: minor changes throughout. 35 pages.
Choi, Yemon +2 more
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Rigidity results for wreath product II1 factors [PDF]
Journal of Functional Analysis, 2007 We consider II$_1$ factors of the form $M=\bar{\bigotimes}_{G}N\rtimes G$, where either i) $N$ is a non-hyperfinite II$_1$ factor and $G$ is an ICC amenable group or ii) $N$ is a weakly rigid II$_1$ factor and $G$ is ICC group and where $G$ acts on $\bar{\bigotimes}_{G}N$ by Bernoulli shifts.
A. Ioana
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