Singular Yamabe Problem Willmore Energies
, 2015 We develop the calculus for hypersurface variations based on variation of the hypersurface defining function. This is used to show that the functional gradient of a new Willmore-like, conformal hypersurface energy agrees exactly with ...
Waldron, Andrew +3 more
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Histone modification of pain-related gene expression in spinal cord neurons under a persistent postsurgical pain-like state by electrocautery. [PDF]
Mol Brain, 2021 Katsuda Y +15 more
europepmc +1 more source
A method for utilizing automated machine learning for histopathological classification of testis based on Johnsen scores. [PDF]
Sci Rep, 2021 Ito Y +6 more
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Some geometric and analytic aspects of the Yamabe Problem
We study the so-called "resolution criterion" for the Yamabe problem. After establishing what the yamabe constant is, we prove that every closed Riemannian manifold of dimension n>2 with Yamabe invariant strictly smaller than the one of the standard n ...
Di Paolo, Giacomo
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Convergence rate of the weighted Yamabe flow
The weighted Yamabe flow is the geometric flow introduced to study the weighted Yamabe problem on smooth metric measure spaces. Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow.
Ho, Pak-tung
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The Yamabe problem for Q-curvature
, 2011 In this paper we demonstrate that under general conditions there exists a metric in the conformal class of an arbitrary metric on a smooth, closed Riemannian manifold of dimension greater than four such that the $Q$-curvature of the metric is a constant.
openaire +2 more sources
Review of Decompression Damage of the Polymer Liner of the Type IV Hydrogen Storage Tank. [PDF]
Polymers (Basel), 2023 Jin Z, Su Y, Lv H, Liu M, Li W, Zhang C.
europepmc +1 more source
The $σ_k$-Yamabe problem revisited
In this paper we revisit the $σ_k$-Yamabe problem on $M^n$, namely, finding a conformal metric with constant $σ_k$-scalar curvature. We prove that on a closed manifold $\left(M,\left[g_0\right]\right)$ with positive Yamabe constant $Y_1\left(M,\left[g_0\right]\right)>0$, the $σ_2$-Yamabe constant $$ Y_2\left(M,\left[g_0\right]\right):=\inf _{g \in ...
Ge, Yuxin, Wang, Guofang, Wei, Wei
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Pointwise monotonicity of heat kernels. [PDF]
Rev Mat Complut, 2023 Alonso-Orán D +3 more
europepmc +1 more source
Opening Note: The Golden Jubilee of the Institute of Mathematics and Statistics of the University of São Paulo. [PDF]
Sao Paulo J Math Sci, 2022 Barrera J +4 more
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