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A scalable and quantum-accurate foundation model for biomolecular force fields via linearly tensorized quadrangle attention. [PDF]

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Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature

manuscripta mathematica, 2000
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Seungsu Hwang
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Remarks on critical point metrics of the total scalar curvature functional

Archiv der Mathematik, 2015
The paper deals with the space of metrics with constant scalar curvature, satisfying the critical point equation on compact manifolds, for short, CPE metrics. It has been conjectured that every CPE metric must be Einstein. The goal of this paper is to prove that the CPE conjecture is true under some integral assumptions.
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Critical points of the total scalar curvature plus total mean curvature functional

Indiana University Mathematics Journal, 2003
A Riemannian metric \(g\) on an \(n\)-dimensional smooth manifold \(M\) with boundary \(\partial M\) is varied in some differentiability or Sobolev class. The author considers the first and second variations of the functional \(F(g)=\) total scalar curvature of \(M+\) total mean curvature of \(\partial M\) restricted by a constraint \(a\cdot\text ...
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On the critical metrics of the total scalar curvature functional

Publicationes Mathematicae Debrecen, 2018
Abdenago Barros, Israel Evangelista
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