Results 41 to 50 of about 1,124,071 (202)

Symplectic Applicability of Lagrangian Surfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their ...
Lorenzo Nicolodi, Emilio Musso
doaj   +1 more source

Symplectic Toric Geometry and the Regular Dodecahedron

Journal of Mathematics, 2015
The regular dodecahedron is the only simple polytope among the platonic solids which is not rational. Therefore, it corresponds neither to a symplectic toric manifold nor to a symplectic toric orbifold.
Elisa Prato
doaj   +1 more source

From Tools in Symplectic and Poisson Geometry to J.-M. Souriau's Theories of Statistical Mechanics and Thermodynamics [PDF]

Entropy, 2016
I present in this paper some tools in symplectic and Poisson geometry in view of their applications in geometric mechanics and mathematical physics.
C. Marle
semanticscholar   +1 more source

An ontological morphological phylogenetic framework for living and extinct ray‐finned fishes (Actinopterygii)

The Anatomical Record, EarlyView.
Abstract The ray‐finned fishes include one out of every two species of living vertebrates on Earth and have an abundant fossil record stretching 380 million years into the past. The division of systematic knowledge of ray‐finned fishes between paleontologists working on extinct animals and neontologists studying extant species has obscured the ...
Jack Stack
wiley   +1 more source

Ammann Tilings in Symplectic Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2013
In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry.
Fiammetta Battaglia, Elisa Prato
doaj   +1 more source

Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation

Entropy, 2022
The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for a symplectic manifold where a Lie group has a Hamiltonian action.
Frédéric Barbaresco
doaj   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

Entropy, 2016
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
doaj   +1 more source

Symplectic and Poisson derived geometry and deformation quantization [PDF]

Algebraic Geometry, 2016
We review recent results and ongoing investigations of the symplectic and Poisson geometry of derived moduli spaces, and describe applications to deformation quantization of such spaces.
T. Pantev, G. Vezzosi
semanticscholar   +1 more source

Uncertainty Quantification in Planning Aircraft Ground Movement Operations With Towbarless Robotic Tractors

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta, Alberto Olivares, Ernesto Staffetti   +2 more
wiley   +1 more source