Results 41 to 50 of about 111,535 (175)
Metasurfaces in Adaptive Optics: A New Opportunity in Optical Wavefront Sensing
Laser &Photonics Reviews, EarlyView.Wavefront sensing constitutes a critical component of adaptive optics systems, aimed at quantitatively measuring distorted wavefronts and enabling closed‐loop correction in optical setups. Metasurfaces, as planar optical elements composed of nanoscale structures, provide exceptional freedom in modulating multiple dimensions of the light field.
Rundong Fan +3 more
wiley +1 more source
Min-max minimal hypersurface in $(M^{n+1}, g)$ with $Ric_{g}>0$ and $2\leq n\leq 6$ [PDF]
, 2012 In this paper, we study the shape of the min-max minimal hypersurface produced by Almgren-Pitts in \cite{A2}\cite{P} corresponding to the fundamental class of a Riemannian manifold $(M^{n+1}, g)$ of positive Ricci curvature with $2\leq n\leq 6$.
Xin Zhou
semanticscholar +1 more source
On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, EarlyView.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
wiley +1 more source
Characteristic Varieties of Hypersurface Complements [PDF]
, 2016 We give divisibility results for the (global) characteristic varieties of hypersurface complements expressed in terms of the local characteristic varieties at points along one of the irreducible components of the hypersurface.
Liu, Yongqiang, Maxim, Laurentiu
core
Curves of best approximation on wonderful varieties
Bulletin of the London Mathematical Society, EarlyView.Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon +2 more
wiley +1 more source
Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$
, 2008 Given a hypersurface $M$ of null scalar curvature in the unit sphere $\mathbb{S}^n$, $n\ge 4$, such that its second fundamental form has rank greater than 2, we construct a singular scalar-flat hypersurface in $\Rr^{n+1}$ as a normal graph over a ...
de Lira, Jorge H. S., Soret, Marc
core +2 more sources
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, EarlyView.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
AIChE Journal, Volume 71, Issue 12, December 2025.Abstract Crystallization is critical in pharmaceutical manufacturing, influencing active pharmaceutical ingredient (API) purity and processability. This study models the cooling crystallization of resveratrol in a water‐ethanol solvent using a two‐dimensional population balance model (2D‐PBM). Experimental data from Focused Beam Reflectance Measurement
Álmos Orosz +5 more
wiley +1 more source
Convergent normal form for real hypersurfaces at generic Levi degeneracy [PDF]
, 2014 We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface.
Kossovskiy, Ilya, Zaitsev, Dmitri
core
Generalized curvature tensor and the hypersurfaces of the Hermitian manifold for the class of Kenmotsu type [PDF]
, 2023 Mohammed Y. Abass, Habeeb M. Abood
openalex +1 more source