Results 31 to 40 of about 212,635 (101)

Generalized Bergman kernels on symplectic manifolds of bounded geometry [PDF]

Communications in Partial Differential Equations, 2018
We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of bounded geometry.
Y. Kordyukov, X. Ma, G. Marinescu
semanticscholar   +1 more source

Singular polarizations and symplectic embeddings [PDF]

arXiv, 2010
We prove in this paper that any 4-dimensional symplectic manifold is essentially made of finitely many symplectic ellipsoids. The key tool is a singular analogue of Donaldson's symplectic hypersurfaces in irrational symplectic manifolds.
arxiv  

Non-symplectic smooth circle actions on symplectic manifolds [PDF]

arXiv, 2010
We present some methods to construct smooth circle actions on symplectic manifolds with non-symplectic fixed point sets or non-symplectic cyclic isotropy point sets. All such actions are not compatible with any symplectic form.
arxiv  

An extension theorem in symplectic geometry [PDF]

arXiv, 2001
We extend the ``Extension after Restriction Principle'' for symplectic embeddings of bounded starlike domains to a large class of symplectic embeddings of unbounded starlike domains.
arxiv  

Ruled 4-manifolds and isotopies of symplectic surfaces [PDF]

arXiv, 2005
We study symplectic surfaces in ruled symplectic 4-manifolds which are disjoint from a given symplectic section. As a consequence we see that, in any symplectic 4-manifold, two homologous symplectic surfaces which are sufficiently C^0 close must be Hamiltonian isotopic.
arxiv  

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

Codimension one symplectic foliations [PDF]

arXiv, 2001
We define the concept of symplectic foliation on a symplectic manifold and provide a method of constructing many examples, by using asymptotically holomorphic techniques.
arxiv  

Nowhere vanishing primitive of a symplectic form [PDF]

arXiv, 2020
Let $M$ be a manifold with an exact symplectic form $\omega$. Then there is a nowhere vanishing primitive $\beta$ for $\omega$, i.e. $\omega=\mathrm{d}\beta$.
arxiv  

Symplectic Convexity for Orbifolds [PDF]

arXiv, 2003
We generalize symplectic convexity theorems for Hamiltonian actions with proper momentum maps to symplectic actions on orbifolds with mod-$\Gamma$ proper momentum maps.
arxiv  

Packing symplectic manifolds by hand [PDF]

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