Results 121 to 130 of about 5,193,136 (315)

Complete spacelike hypersurfaces with positive r-th mean curvature in a semi-Riemannian warped product

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant
Wang Yaning, Liu Ximin
doaj   +1 more source

A Virtual Clinical Trial of Psychedelics to Treat Patients With Disorders of Consciousness

Advanced Science, EarlyView.
Disorders of consciousness after severe brain injury are marked by reduced complexity of brain activity and limited treatment options. Using personalized whole‐brain models, this study shows that simulated lysergic acid diethylamide (LSD) and psilocybin shift patient brain dynamics closer to criticality.
Naji L.N. Alnagger, Paolo Cardone, Charlotte Martial, Yonatan Sanz Perl, Iván Mindlin, Jacobo D Sitt, Leor Roseman, Robin Carhart‐Harris, David Nutt, Pablo Mallaroni, Natasha Mason, Johannes G Ramaekers, Vincent Bonhomme, Steven Laureys, Gustavo Deco, Olivia Gosseries, Pablo Núñez, Jitka Annen   +17 more
wiley   +1 more source

The Impact of Quasi-Conformal Curvature Tensor on Warped Product Manifolds

Axioms
This work investigates the effects on the factor manifolds of a singly warped product manifold resulting from the presence of a quasi-conformally flat, quasi-conformally symmetric, or divergence-free quasi-conformal curvature tensor.
Bang-Yen Chen, Sameh Shenawy, Uday Chand De, Alaa Rabie, Nasser Bin Turki   +4 more
doaj   +1 more source

Warped Products in Real Space Forms

Rocky Mountain Journal of Mathematics, 2004
Let \(B\) and \(F\) be two Riemannian manifolds with metric \(g_B\) and \(g_F\), respectively, and \(f\neq0\) be a function on \(B\). For the product manifold \(B\times F\) with projection \(\pi: B\times F\to B\), \(\eta: B\times F\to F\), the warped product \(M= B\times_fF\) is the manifold \(B\times F\) equipped with the metric such that \[ \| X\|^2=
openaire   +2 more sources

A remark on Einstein warped products [PDF]

Pacific Journal of Mathematics, 2011
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
openaire   +4 more sources

Diffusion‐MRI‐Based Estimation of Cortical Architecture via Machine Learning (DECAM) in Primate Brains

Advanced Science, EarlyView.
We present Diffusion‐MRI‐based Estimation of Cortical Architecture via Machine Learning (DECAM), a deep‐learning framework for estimating primate brain cortical architecture optimized with best response constraint and cortical label vectors. Trained using macaque brain high‐resolution multi‐shell dMRI and histology data, DECAM generates high‐fidelity ...
Tianjia Zhu, Minhui Ouyang, Shufang Tan, Jianlin Guo, Ziqin Zhang, Xuan Liu, Risheng Liu, Hao Huang   +7 more
wiley   +1 more source

Geometry of warped products

, 2011
This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing approaches are rather analytic. Somewhere else, we have interpreted statements, especially by means of a physical terminology.
openaire   +2 more sources

ON RICCI-PSEUDOSYMMETRIC DOUBLY WARPED PRODUCTS

Demonstratio Mathematica, 1996
In this paper doubly warped product manifolds that satisfy a curvature condition known as Ricci-pseudosymmetry are studied. Necessary and sufficient conditions for a doubly warped product to be Ricci-pseudosymmetric are stated. In the special case that the two factor manifolds of the doubly warped product are both Einstein manifolds, the author states ...
openaire   +2 more sources

4D Printing of Magnetically Responsive Shape Memory Polymers: Toward Sustainable Solutions in Soft Robotics, Wearables, and Biomedical Devices

Advanced Science, EarlyView.
Merging 4D printing with magneto‐responsive shape memory polymers opens new avenues for intelligent, reconfigurable systems. This review navigates cutting‐edge fabrication techniques, magnetic fillers, and smart polymer matrices, unveiling their potential in soft robotics, biomedical devices, and wearable tech.
Kiandokht Mirasadi, Mohammad Amin Yousefi, Liuchao Jin, Davood Rahmatabadi, Majid Baniassadi, Wei‐Hsin Liao, Mahdi Bodaghi, Mostafa Baghani   +7 more
wiley   +1 more source

Oxygen‐Regulated GaN‐Based Sensors Fabricated by MOCVD for Switchable Gas Detection: Exhaled Gas Smart Platform for Non‐Invasive Disease Detection

Advanced Science, EarlyView.
This work presents highly consistent GaN‐based thin‐film gas sensors prepared by MOCVD for non‐invasive breath analysis. The sensors exhibit tunable selectivity from oxidizing to reducing gases by incorporating In composition, ultra‐low detection limits and humidity resistance.
Yuxuan Wang, Dan Han, Qi Duan, Zhekai Zhang, Zhengyang Jia, Juxu Guang, Guojing Wang, Weidong Wang, Xiuli He, Shengbo Sang   +9 more
wiley   +1 more source