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Batteries &Supercaps, Volume 6, Issue 1, January 2023., 2023 We introduce a computer algorithm that incorporates the experience of battery researchers to extract information from experimental data reproducibly. This enables the fitting of complex models that take up to a few minutes to simulate. For validation, we process full‐cell GITT measurements to characterize the diffusivities of both electrodes non ...
Yannick Kuhn +3 more
wiley +1 more source
On conformally Kähler, Einstein manifolds [PDF]
Journal of the American Mathematical Society, 2008 We prove that any compact complex surface with c 1 > 0 c_1>0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blow-up C P 2
Claude LeBrun +2 more
openaire +3 more sources
On generalized G-recurrent manifolds [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper, we define a type of Riemannian manifold called generalized G-recurrent manifold, and study the various properties of such a manifold. Among others, it is shown that if a generalized G-recurrent manifold is Einstein, then its associated 1 ...
Jaeman Kim
doaj
Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
doaj +1 more source
Examples of Einstein manifolds in odd dimensions [PDF]
, 2011 We construct Einstein metrics of non-positive scalar curvature on certain solid torus bundles over a Fano Kahler-Einstein manifold. We show, among other things, that the negative Einstein metrics are conformally compact, and the Ricci-flat metrics have ...
Chen, Dezhong
core +1 more source
On the stability of Einstein manifolds [PDF]
Annals of Global Analysis and Geometry, 2014 18 papers, published version. The published version only contains a part of the first version of this paper.
openaire +4 more sources
Sasaki-Einstein manifolds [PDF]
Surveys in Differential Geometry, 2011 This article is an overview of some of the remarkable progress that has been made in Sasaki-Einstein geometry over the last decade, which includes a number of new methods of constructing Sasaki-Einstein manifolds and obstructions.
openaire +3 more sources
Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]
Mathematica Bohemica, 2016 We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pmømega)$ with constant scalar curvature is either Einstein, or the dual field of $ømega$ is Killing.
Amalendu Ghosh
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K\"{a}hler-Einstein metrics on strictly pseudoconvex domains [PDF]
, 2011 The metrics of S. Y. Cheng and S.-T. Yau are considered on a strictly pseudoconvex domains in a complex manifold. Such a manifold carries a complete K\"{a}hler-Einstein metric if and only if its canonical bundle is positive.
A. Futaki +36 more
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Deep learning phase‐field model for brittle fractures
International Journal for Numerical Methods in Engineering, Volume 124, Issue 3, Page 620-638, 15 February 2023., 2023 Abstract We present deep learning phase‐field models for brittle fracture. A variety of physics‐informed neural networks (PINNs) techniques, for example, original PINNs, variational PINNs (VPINNs), and variational energy PINNs (VE‐PINNs) are utilized to solve brittle phase‐field problems.
Yousef Ghaffari Motlagh +2 more
wiley +1 more source