Results 61 to 70 of about 22,063 (297)
Exploring exceptional Drinfeld geometries
Journal of High Energy Physics, 2020 We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T ...
Chris D. A. Blair +2 more
doaj +1 more source
Differential Geometry on Compound Poisson Space
, 1998 In this paper we carry out analysis and geometry for a class of infinite dimensional manifolds, namely, compound configuration spaces as a natural generalization of the work \cite{AKR97}. More precisely a differential geometry is constructed on the compound configuration space $Ω_{X}$ over a Riemannian manifold $X$.
Kondratiev, Yuri +2 more
openaire +4 more sources
On computational Poisson geometry II: Numerical methods
Journal of Computational Dynamics, 2021 We present twelve numerical methods for evaluation of objects and concepts from Poisson geometry. We describe how each method works with examples, and explain how it is executed in code. These include methods that evaluate Hamiltonian and modular vector fields, compute the image under the coboundary and trace operators, the Lie bracket of differential ...
M. A. Evangelista-Alvarado +2 more
openaire +4 more sources
Advanced Engineering Materials, EarlyView.Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova +2 more
wiley +1 more source
Deformations of coisotropic submanifolds for fibrewise entire Poisson structures [PDF]
, 2013 peer reviewedWe show that deformations of a coisotropic submanifold inside a fibrewise entire Poisson manifold are controlled by the L-infinity-algebra introduced by Oh-Park (for symplectic manifolds) and Cattaneo-Felder.
SCHATZ, Florian +5 more
core +1 more source
Advanced Engineering Materials, EarlyView.Knowledge‐based atomistic workflows are presented for mechanical and thermodynamic properties. By coupling modular simulations with ontology‐aligned metadata and provenance, Fe case studies on elastic behavior, defects, thermal properties, and Hall–Petch strengthening reveal how FAIR, queryable, and reusable simulation data can be generated. Mechanical
Abril Azócar Guzmán +5 more
wiley +1 more source
Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System
Abstract and Applied Analysis, 2014 We consider a Schrödinger-Poisson system in ℝ3 with a strongly indefinite potential and a general nonlinearity. Its variational functional does not satisfy the global linking geometry.
Shaowei Chen, Liqin Xiao
doaj +1 more source
A gravitational action with stringy Q and R fluxes via deformed differential graded Poisson algebras
Journal of High Energy Physics, 2021 We study a deformation of a 2-graded Poisson algebra where the functions of the phase space variables are complemented by linear functions of parity odd velocities.
Eugenia Boffo, Peter Schupp
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On the geometry of Kähler-Poisson structures
, 2011 We prove that the Riemannian geometry of almost Kähler manifolds can be expressed in terms of the Poisson algebra of smooth functions on the manifold. Subsequently, Kähler-Poisson algebras are introduced, and it is shown that a corresponding purely algebraic theory of geometry and curvature can be developed.
Arnlind, Joakim, Huisken, Gerhard
openaire +2 more sources
On computational Poisson geometry I: Symbolic foundations
Journal of Geometric Mechanics, 2021 We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module $\textsf{PoissonGeometry}$ implements our algorithms, and accompanies this paper. We include two examples of how our methods can be used, one for gauge transformations of Poisson bivectors in dimension 3, and a second one that determines parametric
M. A. Evangelista-Alvarado +2 more
openaire +3 more sources