Results 201 to 210 of about 74,327 (228)

Critical metrics for all quadratic curvature functionals

Bulletin of the London Mathematical Society, 2021
Let \((M,g)\) be a closed oriented Riemannian manifold endowed with \(\tau,\rho,R\), the scalar curvature, the Ricci tensor, and the curvature tensor, respectively. Let \(\psi_{a,b,c}\) be a parameterized quadratic curvature functional and defined on the set of a suitable Riemannian metrics by \[\displaystyle \psi_{a,b,c}(g)=\int_M(a\|R\|^2+b\|\rho\|^2+
Brozos-Vázquez, Miguel, Caeiro-Oliveira, Sandro, García-Río, Eduardo   +2 more
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On a Quadratic Functional of the $$\varphi $$-Scalar Curvature

Results in Mathematics, 2023
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Marco Rigoli, Handan Yıldırım
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Three-dimensional homogeneous critical metrics for quadratic curvature functionals

Annali di Matematica Pura ed Applicata (1923 -), 2020
It is shown that for any \(t\in \mathbb{R}\), there exist non-Einstein homogeneous \(F_{t}\)-critical metrics on homogeneous \(3\)-manifolds, where \(F_{t}\) denotes the scalar quadratic curvature functional.
M. Brozos-Vázquez, E. García-Río, S. Caeiro-Oliveira   +2 more
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Bach-flat critical metrics for quadratic curvature functionals

Annals of Global Analysis and Geometry, 2018
Let \(M\) be an \(n\)-dimensional compact smooth manifold and let \(\mathcal M\) denote the space of smooth Riemannian metrics on \(M\). In this paper, the authors study the critical metrics for quadratic curvature functionals \(\mathcal F_\tau= \int_M |\mathrm{Ric}|^2dV_g+\tau\int_MR^2dV_g\) involving the Ricci curvature and scalar curvature in the ...
Sheng, Weimin, Wang, Lisheng
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Extremal Metrics for Quadratic Functional of Scalar Curvature on Closed 3-Manifolds

Annals of Global Analysis and Geometry, 2004
This paper shows the global existence of three-dimensional Calabi flow on any closed 3-manifold with an arbitrary background metric. This is used to prove the existence of extremal metrices for a quadratic functional of scalar curvature on a closed 3-manifold.
Chang, Shu-Cheng, Wu, Chin-Tung
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On direct products of critical metrics for quadratic curvature functionals

Analysis and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Improved Stability Criteria for Delayed Neural Networks Using a Quadratic Function Negative-Definiteness Approach

IEEE Transactions on Neural Networks and Learning Systems, 2022
Jun Chen, Xian-Ming Zhang, Ju H. Park
exaly  

Functional Imaging of Cancer with Emphasis on Molecular Techniques

Ca-A Cancer Journal for Clinicians, 2007
Mohamed Houseni
exaly  

A Comparison of Methods for Imposing Curvature on the Normalized Quadratic Indirect Profit Function

2010
Featherstone, Allen M., Burbidge, Linda D.   +1 more
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