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Bloch's conjecture for a surface X over an algebraically closed field k states that every homologically trivial correspondence acts as 0 on the Albanese kernel. When X is a K3 surface, this conjecture...
We propose a novel kind of energy/dissipation-preserving split Birkhoffian multi-symplectic (S-BMS) methods for Maxwell's equations with dissipation terms. After investigating the non-autonomous and a...
Abstract: 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...
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in complex geometry. The...
In this work we study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these...
In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = RN, by additional terms implying the Poisson non-commutativity of both...
2001Vol.36No.3pp.259-262DOI: A Note on Symplectic, Multisymplectic Scheme in Finite Element Method GUO Han-Ying,1 JI Xiao-Mei,1,2 LI Yu-Qi1 and WU Ke1 1 Institute of Th...
2001Vol.36No.1pp.11-18DOI: A Note on Symplectic Algorithm GUO Han-Ying, LI Yu-Qi and WU Ke Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 1000...
2001Vol.35No.6pp.703-710DOI: On Symplectic and Multisymplectic Structures and Their Discrete Versions in Lagrangian Formalism GUO Han-Ying, LI Yu-Qi and WU Ke Institute ...
2007Vol.47No.4pp.577-581DOI: A New Integrable Symplectic Map of Neumann Type ZHU Jun-Yi and GENG Xian-Guo Department of Mathematics, Zhengzhou University, Zhengzhou 4500...
2002Vol.38No.5pp.523-528DOI: A Hierarchy of Integrable Nonlinear Lattice Equations and New Integrable Symplectic Map XU Xi-Xiang and DONG Huan-He Department of Basic Cou...
2002Vol.38No.2pp.147-150DOI: Coherent State Projection Operator Representation of Symplectic Transformations as a Loyal Representation of Symplectic Group FAN Hong-Yi and CHEN Ju...
2002Vol.37No.3pp.257-264DOI: Difference Discrete Variational Principles, Euler-Lagrange Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplec...
2002Vol.37No.2pp.129-138DOI: Difference Discrete Variational Principle, Euler-Lagrange Cohomology and Symplectic, Multisymplectic Structures II: Euler-Lagrange Cohomology GUO Han-...
2002Vol.37No.1pp.1-10DOI: Difference Discrete Variational Principles, Euler-Lagrange Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle ...

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