Results 61 to 70 of about 369 (176)
Efficient First‐Principles Inverse Design of Nanolasers
This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch +5 more
wiley +1 more source
Approximate Ricci‐Flat Metrics for Calabi–Yau Manifolds
ABSTRACT We outline a method to determine analytic Kähler potentials with associated approximately Ricci‐flat Kähler metrics on Calabi–Yau manifolds. Key ingredients are numerically calculating Ricci‐flat Kähler potentials via machine learning techniques and fitting the numerical results to Donaldson's ansatz.
Seung‐Joo Lee, Andre Lukas
wiley +1 more source
Abstract The eigenstructure of a rational matrix is comprised by its invariant rational functions, both finite and at infinity, and by the minimal indices of its left and right null spaces. These quantities arise in many applications and have been thoroughly studied in numerous references.
Itziar Baragaña +3 more
wiley +1 more source
Riemannian submersions From Almost Hermitian Manifolds [PDF]
We survey main results of holomorphic submersions, anti-invariant submersions, slant submersions, semi-invariant submersions and semi-slant submersions defined on almost Hermitian manifolds. We also give an application of Riemannian submersions on redundant robotic chains obtained by Altafini and propose some open problems related to topics discussed ...
openaire +2 more sources
Wall–chamber decompositions for generalised Monge–Ampère equations
Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid +1 more
wiley +1 more source
On sectional and bisectional curvature of the H-umbilical submanifolds
Let M be an H-umbilical submanifold of an almost Hermitian manifold M˜. Some relations expressing the difference of bisectional and of sectional curvatures of M˜ and of M are obtained.
S. Ianus, G. B. Rizza
doaj +1 more source
Generalised kinematics for double field theory
We formulate a kinematical extension of Double Field Theory on a 2d-dimensional para-Hermitian manifold Pηω $$ \left(\mathcal{P},\eta, \omega \right) $$ where the O(d, d) metric η is supplemented by an almost symplectic two-form ω.
Laurent Freidel +2 more
doaj +1 more source
Invariant almost Hermitian structures on flag manifolds
Let \(\mathfrak g\) be a complex semi-simple Lie algebra of a complex Lie group \(G\), and let \(\mathbb{F}=G/P\) be a maximal flag manifold of \(G\), where \(P\) is a minimal parabolic (Borel) subgroup. For any maximal compact subgroup \(U\) of \(G\) the manifold \(\mathbb{F}\) can be written as \(\mathbb{F}=U/T\), where \(T\subset U\) is a maximal ...
San Martin, Luiz A.B. +1 more
openaire +1 more source
Time‐Resolved SNOM via Phase‐Domain Sampling
Time‐resolved scanning near‐field optical microscopy (tr‐SNOM) grants access to the dynamic dielectric function of monolayer and multilayer WS2, using visible wavelengths. In order to use a femtosecond laser with a repetition rate of 200 kHz, the signal is sampled and demodulated in the modulation phase domain, marking the first realization of tr‐SNOM ...
Philipp Schwendke +2 more
wiley +1 more source
On the Geometry of the Kähler Golden Manifold
The main objective of this paper is to investigate the properties related to the sectional curvatures of a Kähler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi–Civita ...
Cristina Elena Hreţcanu +1 more
doaj +1 more source

