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Warped products in general relativity [PDF]

, 2010
Spezielle Lösungen, wie Robertson-Walker-, Schwarzschild-und Reissner-Nordström-Lösungen der Einstein-Gleichungen, werden als warped products identifiziert und ihre geometrischen Eigenschaften studiert.
Tassotti, Nathalie
core  

Ricci-Bourguignon solitons on sequential warped products

, 2023
We study Ricci-Bourguignon solitons on sequential warped products. The necessary conditions are obtained for a Ricci-Bourguignon soliton with the structure of a sequential warped product to be an Einstein manifold when we consider the potential field as ...
Ozgur, Cihan, Kaya, Dilek Acikgoz
core  

Biomass DNA: An Emerging Building Block for Advanced Materials

Advanced Materials, EarlyView.
Biomass DNA is rapidly emerging from its traditional role as a genetic blueprint to serve as a versatile abundant, highly programmable polymeric building block. This review highlights the transformation of macroscopic bulk biomass DNA into next generation of functional materials, spanning from dynamic hydrogels, sustainable bioplastics, and high ...
Yuwei Hu, Itamar Willner, Li Niu
wiley   +1 more source

Wood‐Derived Nanocellulose‐Biocarbon Fresnel‐Zone Plate Lenses for Sub‐THz Frequency Applications

Advanced Materials Technologies, EarlyView.
Wood‐derived nanocellulose and lignin‐based biocarbon were combined to fabricate fully bio‐based Fresnel zone plate (FZP) lenses for sub‐terahertz frequencies. These sustainable FZP lenses exhibit low dielectric loss and high directivity, achieving performance comparable to that of metallic references, and remain functional under environmental stress ...
Riikka Haataja, Mikko Kokkonen, Niina Halonen, Sami Myllymäki, Umair Rafique, Mandeep Singh, Ossi Laitinen, Heli Jantunen, Kristiina Oksman, Henrikki Liimatainen   +9 more
wiley   +1 more source

Symmetries of Ricci flows

Advances in Nonlinear Analysis, 2023
In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique, Dimas Stylianos, Bozhkov Yuri   +2 more
doaj   +1 more source

High Throughput Aerosol Jet Printing to Operationalize High Aspect Ratio Patterning

Advanced Materials Technologies, EarlyView.
High‐throughput aerosol jet printing poses distinct limiting mechanisms to the printing process. These include rapidly changing ink chemistries, atomization instabilities, and liquid‐phase spreading. The combination of in‐line heating, process monitoring, and traditional optimization procedures enables rapid printing of high‐aspect‐ratio structures ...
Bella I. Guyll, Md Mahdi Ul Ishtiaque, Md Ramjan Ali, Todd A. Kingston, Ethan B. Secor   +4 more
wiley   +1 more source

CRITICAL POINTS AND WARPED PRODUCT METRICS [PDF]

Bulletin of the Korean Mathematical Society, 2004
The authors prove a rigidity theorem showing that no warped products of dimension 3 can satisfy a certain Euler-Lagrange equation involving the total scalar curvature functional unless it is isometric to the standard sphere.
Hwang, Seungsu, Chang, Jeongwook
openaire   +2 more sources

Hybrid Additive Manufacturing of Highly Stretchable Bottlebrush Polymer Nanocomposites by Decoupled Extrusion and Photopatterning

Advanced Materials Technologies, EarlyView.
A Hybrid Direct Ink Writing–Digital Light Processing (HDD) strategy decouples material extrusion from shape definition, enabling high‐fidelity additive manufacturing of highly viscous, yield‐stress polymer nanocomposites. Excess ink acts as a removable, self‐supporting scaffold, allowing fabrication of unsupported and embedded complex architectures ...
Shahryar Ramezani Bajgiran, Emmanuel Oduro, Daniel A. Rau, Li‐Heng Cai   +3 more
wiley   +1 more source

Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products

Advances in Mathematical Physics, 2015
We characterize the spacelike slices of a Lorentzian warped product as the only constant mean curvature spacelike surfaces under suitable geometrical and physical assumptions.
Juan A. Aledo, Rafael M. Rubio
doaj   +1 more source

A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications

Advances in Mathematical Physics, 2021
In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form.
Yanlin Li, Akram Ali, Rifaqat Ali
doaj   +1 more source