Results 61 to 70 of about 69,077 (284)
Non-linear partial differential equations in conformal geometry
In the study of conformal geometry, the method of elliptic partial differential equations is playing an increasingly significant role. Since the solution of the Yamabe problem, a family of conformally covariant operators (for definition, see section 2) generalizing the conformal Laplacian, and their associated conformal invariants have been introduced.
Chang, Sun-Yung Alice, Yang, Paul C.
openaire +2 more sources
Enzymatic degradation of biopolymers in amorphous and molten states: mechanisms and applications
This review explains how polymer morphology and thermal state shape enzymatic degradation pathways, comparing amorphous and molten biopolymer structures. By integrating structure–reactivity principles with insights from thermodynamics and enzyme engineering, it highlights mechanisms that enable efficient polymer breakdown.
Anđela Pustak, Aleksandra Maršavelski
wiley +1 more source
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Bootstrap bounds on closed Einstein manifolds
A compact Riemannian manifold is associated with geometric data given by the eigenvalues of various Laplacian operators on the manifold and the triple overlap integrals of the corresponding eigenmodes. This geometric data must satisfy certain consistency
James Bonifacio, Kurt Hinterbichler
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Discrete differential geometry and the properties of conformal two-dimensional materials [PDF]
Submitted on December 30, 2014 as an invited contribution to an upcoming issue on Advances in Graphene Science and Engineering. Editors: Jeanie Lau (UC-Riverside), Roland Kawakami (Ohio State) and Arthur Epstein (Ohio State).
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Enzymatic and microbial routes to bioplastics: The green chemistry frontier of biopolymers
Microbial biosynthesis and engineered enzyme platforms are expanding the design space of polyhydroxyalkanoate bioplastics. By combining fermentation, PHA synthase engineering and cell‐free modular systems, tailored biodegradable polymers can be produced with tunable properties, supporting more sustainable materials and future circular bioeconomy ...
Giovanni Gallo +4 more
wiley +1 more source
Superconformal quantum mechanics on Kähler cones
We consider supersymmetric quantum mechanics on a Kähler cone, regulated via a suitable resolution of the conical singularity. The unresolved space has a u(1, 1|2) superconformal symmetry and we propose the existence of an associated quantum mechanical ...
Nick Dorey, Daniel Zhang
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Bootstrap bounds on closed hyperbolic manifolds
The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions must satisfy certain consistency conditions on compact Riemannian manifolds.
James Bonifacio
doaj +1 more source
Cubic Differentials in the Differential Geometry of Surfaces [PDF]
We discuss the local differential geometry of convex affine spheres in $\re^3$ and of minimal Lagrangian surfaces in Hermitian symmetric spaces. In each case, there is a natural metric and cubic differential holomorphic with respect to the induced ...
Loftin, John, McIntosh, Ian
core
Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials
Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai +2 more
wiley +1 more source

