Results 21 to 30 of about 393,149 (150)
Geometry and Physics of Null Infinity
, 2015 In asymptotically Minkowski space-times, one finds a surprisingly rich interplay between geometry and physics in both the classical and quantum regimes. On the mathematical side it involves null geometry, infinite dimensional groups, symplectic geometry ...
Ashtekar, Abhay
core +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
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
Some problems in mathematics and mathematical physics [PDF]
arXiv, 2020 We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv
Symplectic spinors and Hodge theory [PDF]
, 2017 Results on symplectic spinors and their higher spin versions, concerning representation theory and cohomology properties are presented. Exterior forms with values in the symplectic spinors are decomposed into irreducible modules including finding the ...
Krýsl, Svatopluk
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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
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
Modal identification of wind turbine tower based on optimal fractional order statistical moments
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 13, Page 1754-1768, 19 May 2025.Abstract In vibration testing of civil engineering structures, the first two vibration modes are crucial in representing the global dynamic behavior of the structure measured. In the present study, a comprehensive method is proposed to identify the first two vibration modes of wind turbine towers, which is based on the analysis of fractional order ...
Yang Yang +4 more
wiley +1 more source
Do the Angles of a Triangle Add up to 180°? -- Introducing Non-Euclidean Geometry [PDF]
arXiv, 2021 How can we convince students, who have mainly learned to follow given mathematical rules, that mathematics can also be fascinating, creative, and beautiful? In this paper I discuss different ways of introducing non-Euclidean geometry to students and the general public using different physical models, including chalksphere, crocheted hyperbolic surfaces,
arxiv
Mechanical Hamiltonization of Unreduced ϕ$\phi$‐Simple Chaplygin Systems
Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.ABSTRACT In this paper, we prove that the trajectories of unreduced ϕ$\phi$‐simple Chaplygin kinetic systems are reparameterizations of horizontal geodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannian metrics, which are not unique, are obtained explicitly in interesting examples.
Alexandre Anahory Simoes +2 more
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