Results 81 to 90 of about 1,140,852 (279)
An observation on the existence of stable generalized complex structures on ruled surfaces
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1077-1082, April 2025.Abstract We point out that any stable generalized complex structure on a sphere bundle over a closed surface of genus at least two must be of constant type.
Rafael Torres
wiley +1 more source
On the Zoll deformations of the Kepler problem
Bulletin of the London Mathematical Society, EarlyView.Abstract A celebrated result of Bertrand states that the only central force potentials on the plane with the property that all bounded orbits are periodic are the Kepler potential and the potential of the harmonic oscillator. In this paper, we complement Bertrand's theorem showing the existence of an infinite‐dimensional space of central force ...
Luca Asselle, Stefano Baranzini
wiley +1 more source
Geometric Structures on Spaces of Weighted Submanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on ''convenient'' vector spaces to study the geometry of some infinite dimensional spaces.
Brian Lee
doaj +1 more source
The birational geometry of GIT quotients
Bulletin of the London Mathematical Society, EarlyView.Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley +1 more source
The Entropic Dynamics Approach to Quantum Mechanics
Entropy, 2019 Entropic Dynamics (ED) is a framework in which Quantum Mechanics is derived as an application of entropic methods of inference. In ED the dynamics of the probability distribution is driven by entropy subject to constraints that are codified into a ...
Ariel Caticha
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Emergent Geometry and Quantum Gravity
, 2010 We explain how quantum gravity can be defined by quantizing spacetime itself. A pinpoint is that the gravitational constant G = L_P^2 whose physical dimension is of (length)^2 in natural unit introduces a symplectic structure of spacetime which causes a ...
Abraham R. +5 more
core +1 more source
Symplectic, Poisson, and contact geometry on scattering manifolds [PDF]
, 2016 We introduce scattering-symplectic manifolds, manifolds with a type of minimally degenerate Poisson structure that is not too restrictive so as to have a large class of examples, yet restrictive enough for standard Poisson invariants to be computable ...
Melinda Lanius
semanticscholar +1 more source
On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of Cloc1,1$C^{1,1}_{loc}$ solutions to first‐order Hamilton–Jacobi–Bellman equations.
Mohit Bansil, Alpár R. Mészáros
wiley +1 more source
RESEARCH ON ROLLING BEARING FAULT FEATURE EXTRACTION METHOD WITH SGMD-MOMEDA (MT)
Jixie qiangdu, 2022 Aiming at the problem that the vibration signal of rolling bearing is difficult to extract due to the characteristics of non-linear, non-stationary and low signal-to-noise ratio, a new fault extraction method based on symplectic geometry mode ...
CAO YaLei +5 more
doaj
Jacobian elliptic fibrations on K3s with a non‐symplectic automorphism of order 3
Mathematische Nachrichten, Volume 298, Issue 5, Page 1758-1788, May 2025.Abstract Let X$X$ be a K3 surface admitting a non‐symplectic automorphism σ$\sigma$ of order 3. Building on work by Garbagnati and Salgado, we classify the Jacobian elliptic fibrations on X$X$ with respect to the action of σ$\sigma$ on their fibers. If the fiber class of a Jacobian elliptic fibration on NS(X)$\operatorname{NS}(X)$ is fixed by σ$\sigma$,
Felipe Zingali Meira
wiley +1 more source