Results 91 to 100 of about 4,345 (311)
The geometry of warped product singularities [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 In this article, the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented here is that a degenerate warped product of semi-regular semi-Riemannian manifolds with the ...
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Advanced Science, EarlyView.We show that interfacial oxygen at the MgO/Fe interface can be transformed from an uncontrolled variable into a tunable design parameter for spintronic junctions. Momentum microscopy provides direct access to the momentum‐ and spin‐resolved electronic structure beneath the insulating MgO layers, revealing how oxygen intercalation reshapes buried Fe ...
David Maximilian Janas +14 more
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Advanced Science, EarlyView.Graphene‐skinned alumina fiber (GAF) is a new composite with graphene conformally grown on individual alumina fibers via chemical vapor deposition (CVD). GAF's dynamic, continuous and scalable production is achieved by using a home‐made roll‐to‐roll (RTR) CVD system featuring integrated degumming and growth chambers. GAF possesses tunable conductivity,
Xiaobai Wang +13 more
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Advanced Science, EarlyView.This study proposes a piezoelectric interface modification strategy to amplify the piezoionic effect. The piezoelectric interface generates an intrinsic electric field, which not only drives rapid ion migration but also concentrates polarized ions on the interface. The flexible sensor delivers superior performance, such as a quick response rate, strong
Yanyu Chen +5 more
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Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms
AxiomsThis paper investigates the relationship between homology groups and warped product semi-slant submanifolds in Kenmotsu space forms. Some rigidity theorems for vanishing homology groups on warped product semi-slant submanifolds are obtained using the ...
Noura M. Alhouiti +4 more
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Advanced Science, EarlyView.A molecular‐bridging heterogeneous interface engineering strategy is introduced to combine a polyhedral oligomeric silsesquioxane (POSS)‐based hard coating with a colorless polyimide (CPI)‐based flexible layer. The robust heterogeneous interface endows the integrated system with the superior properties of both layers and their synergistic ...
Huiyang Lu +5 more
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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=
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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.
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Advanced Science, EarlyView.A monolithic manufacturing strategy is presented for photothermal shape memory alloy (SMA) meta‐morphing structures. Using a single‐step UV‐laser process, the mechanical compliance is programmed via kirigami patterning while optical absorbance is simultaneously tuned through surface oxidation.
Hyunsoo Kim +8 more
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A survey on geometry of warped product submanifolds [PDF]
, 2013 Bang‐Yen Chen
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