Results 121 to 130 of about 208,236 (249)

Packing symplectic manifolds by hand [PDF]

open access: yesarXiv, 2004
We construct explicit maximal symplectic packings of minimal rational and ruled symplectic 4-manifolds by few balls in a very simple way.
arxiv  

$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras

open access: yesForum of Mathematics, Sigma
We study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
doaj   +1 more source

Symplectic Geometry for Engineers, Fundamentals

open access: yes, 2019
The mathematical theory underlying Hamiltonian mechanics is called symplectic geometry. So symplectic geometry arose from the roots of mechanics and is seen as one of the most valuable links between physics and mathematics today. Symplectic geometry in its simplest possible case is the geometry of the plane.
openaire   +2 more sources

Accuracy-Improved Fault Diagnosis Method for Rolling Bearing Based on Enhanced ESGMD-CC and BA-ELM Model

open access: yesShock and Vibration
The current methods for early fault diagnosis of rolling bearing have some flaws, such as poor fault feature information and insufficient fault feature extraction capability, which makes it challenging to guarantee fault diagnosis accuracy.
Wei Yuan   +5 more
doaj   +1 more source

Geometry of symplectic intersections

open access: yes, 2003
In this paper we survey several intersection and non-intersection phenomena appearing in the realm of symplectic topology. We discuss their implications and finally outline some new relations of the subject to algebraic geometry.
openaire   +2 more sources

Higher Symplectic Geometry

open access: yes, 2011
We consider generalizations of symplectic manifolds called n-plectic manifolds. A manifold is n-plectic if it is equipped with a closed, nondegenerate form of degree n+1. We show that higher structures arise on these manifolds which can be understood as the categorified or homotopy analogues of important structures studied in symplectic geometry and ...
openaire   +2 more sources

Some memos on Stable Symplectic Structured Space II: Symplectic motives [PDF]

open access: yesarXiv
These memos include the research on $\mathcal{G}_{\mathbb{S}}^{alg}$-scheme theory, the definition of symplectic motives over $\mathcal{G}_{\mathbb{S}}^{alg}$-schemes and symplectic motivic cohomology. This presents a new research direction.
arxiv  

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