Results 61 to 70 of about 1,358 (218)
Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics
It is well known that the study of the shape and the properties of the production possibility frontier is a subject of great interest in economic analysis.
Xiaoshu Wang, Yu Fu
doaj +1 more source
Ligand Field Tuning of Photoreactivity: Contrasting Low‐Spin and High‐Spin Fe(III)‐Azido Complexes
Why do near‐identical Fe(III)‐azido complexes exhibit different photoreactivity profiles? Linking spin states and key normal modes to wavelength‐dependent photoreductive and photooxidative reaction paths shows how supposedly minor structural changes influence the spin ground state, in turn dictating the photoreactivity profile of the complexes.
Frederik Scherz, Vera Krewald
wiley +1 more source
A well-known conjecture of Yau states that the area of one of Clifford minimal hypersurfaces $S^k\big{(}\sqrt{\frac{k}{n}}\, \big{)}\times S^{n-k}\big{(}\sqrt{\frac{n-k}{n}}\, \big{)}$ gives the lowest value of area among all non-totally geodesic compact minimal hypersurfaces in the unit sphere $S^{n+1}(1)$.
Cheng, Qing-Ming +2 more
openaire +2 more sources
Families of singular algebraic varieties that are rationally elliptic spaces
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley +1 more source
Weak Minimal Area in Entanglement Entropy
We revisit the minimal area condition of Ryu-Takayanagi in the holographic calculation of the entanglement entropy, in particular, the Legendre test and the Jacobi test. The necessary condition for the weak minimality is checked via Legendre test and its
Shesansu Sekhar Pal, Shubhalaxmi Rath
doaj +1 more source
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
Minimal hypersurfaces with bounded index [PDF]
Final ...
Chodosh, Otis +2 more
openaire +3 more sources
On higher Jacobians, Laplace equations, and Lefschetz properties
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
A complete minimal hypersurface in de Sitter space-time of the first kind
In the present paper we prove that a complete spacelike minimal hypersurface in de Sitter space-time of the first kind is a spherical space form if it has an integrable p-power of its scalar curvature for some positive p.
S. Stepanov, I. Tsyganok
doaj
Plank theorems and their applications: A survey
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

