Results 21 to 30 of about 124,243 (153)

The Hamiltonian geometry of the space of unitary connections with symplectic curvature [PDF]

, 2011
Let L->M be a Hermitian line bundle over a compact manifold. Write S for the space of all unitary connections in L whose curvatures define symplectic forms on M and G for the group of unitary bundle isometries of L, which acts on S by pull-back. The main
J. Fine
semanticscholar   +1 more source

Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition

Shock and Vibration, 2019
This paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD).
Hang Jin, Jianhui Lin, Xieqi Chen, Cai Yi   +3 more
semanticscholar   +1 more source

Symplectic and Poisson Geometry on Loop Spaces of Manifolds and Nonlinear Equations [PDF]

, 1995
We consider some differential geometric classes of local and nonlocal Poisson and symplectic structures on loop spaces of smooth manifolds which give natural Hamiltonian and multihamiltonian representations for some important nonlinear equations of ...
Олег Иванович Мохов
semanticscholar   +1 more source

Geometric transitions and SYZ mirror symmetry [PDF]

, 2018
We prove that the punctured generalized conifolds and punctured orbifolded conifolds are mirror symmetric under the SYZ program with quantum corrections.
Kanazawa, Atsushi, Lau, Siu-Cheong
core   +1 more source

Symplectomorphism groups and isotropic skeletons

, 2004
The symplectomorphism group of a 2-dimensional surface is homotopy equivalent to the orbit of a filling system of curves. We give a generalization of this statement to dimension 4.
Donaldson, Joseph Coffey, Lalonde, Lerman, May, McDuff   +5 more
core   +2 more sources

Early Fault Diagnosis of Bearings Based on Symplectic Geometry Mode Decomposition Guided by Optimal Weight Spectrum Index

Symmetry
When the rotating machinery fails, the signal generated by the faulty component often no longer maintains the original symmetry, which makes the vibration signal with nonlinear and non-stationary characteristics, and is easily affected by background ...
Chenglong Wei, Yiqi Zhou, Bo Han, Pengchuan Liu   +3 more
semanticscholar   +1 more source

Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?

, 2010
We study the commutation relations within the Pauli groups built on all decompositions of a given Hilbert space dimension $q$, containing a square, into its factors.
Albouy O, Cameron P J, Havlicek H, Havlicek H, Havlicek H, Havlicek H, Hirayama Y, Kibler M, Klimov A B, Klimov A B, Klimov A B Munoz C Sanchez-Soto L L, Michel Planat, Novotný P, Planat M, Planat M, Planat M, Planat M, Planat M, Saniga M, Solé P Planat M, Thas K, Tolar J, Vourdas A   +22 more
core   +4 more sources

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

A survey on symplectic singularities and resolutions [PDF]

, 2005
This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions, which could also serve as an introduction to this ...
Fu, Baohua
core   +2 more sources

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source