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Symplectic maps to projective spaces and symplectic invariants
Symplectic maps projective spaces symplectic invariants
2010/3/1
After reviewing recent results on symplectic Lefschetz pencils and symplectic branched covers of \CP2, we describe a new construction of maps from symplectic manifolds of any dimension to \CP2 and the...
Projective Geometry and $\cal PT$-Symmetric Dirac Hamiltonian
Projective Geometry $\cal PT$-Symmetric Dirac Hamiltonian
2010/4/13
The $(3 + 1)$-dimensional (generalized) Dirac equation is shown to have the same form as the equation expressing the condition that a given point lies on a given line in 3-dimensional projective space...
Multi-qubit entanglement engineering via projective measurements
Multi-qubit entanglement engineering projective measurements
2010/4/9
So far, various multi-photon entangled states have been observed experimentally by using different experimental set-ups. Here, we present a scheme to realize many SLOCC-inequivalent states of three an...
We study the positive-operator-valued measures on the projective real line covariant with respect to the projective group, assuming that the energy is a positive operator. This problem is similar to t...
<正> INTRODUGTION.1.In the proiective theory of a curve in ordinary space thereare introduced various systems of tetrahedrons associated to a pointof the curve.Most of them are,more or less,artificial ...
<正> Su has recently established the projective theory of space curvesby a purely geometrical method and has shown among other thingsthat the projective invariants of a curve can simply be expressed by...
<正> In a recent paper of the same title we studied the plane sectionsof the circumscribed developable of a curve in the projective n-dimen-sional space Sn(n(?)3) confining ourselves to the considerati...
<正> In the present paper we propose to establish certain theoremsconcerning plane sections of the circumscribed developable of a curvein the projective n-dimensional space s_n((?)3).The planes in cons...
<正> In a recent paper the present author has established somerepresentations for a plane curve C in the neighbourhood of a singularpoint O characterized by the property that the tangent t(?) of C at O...
PROJECTIVE DIFFERENTIAL GEOMETRY
2007/12/12
<正> By hypothesis the curve C_m has with C a contact of order m+1;the constant term and the coefficient of the term s in the expansion off/s~m must vanish,namely……
Application of Hilbert's Projective metric on Symmetric Cones
Hilbert's projective metric Symmetric cone
2007/12/11
Let $\Omega$ be a symmetric cone. In this note, we introduce Hilbert's projective metric on $\Omega$ in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation...
Generalized Projective Synchronization Between Rössler
System and New Unified Chaotic System
Rö ssler system
Lorenz-Chen-Lü system generalized projective
synchronization scaling factor active control
2007/8/15
2007Vol.48No.1pp.132-136DOI:
Generalized Projective Synchronization Between Rössler
System and New Unified Chaotic System
LI Xin1,3 and CHEN Yong1,2,3
1 Nonlinear S...
Double-Parameter Solutions of Projective Riccati Equations
and Their Applications
projective Riccati equations linearized theorem
homogeneous balance Sub-ODE method travelling wave solutions nonlinear PDE
2007/8/15
2007Vol.47No.1pp.1-9DOI:
Double-Parameter Solutions of Projective Riccati Equations
and Their Applications
WANG Ming-Liang,1,2 LI Er-Qiang,1 and LI Xiang-Zheng1
1 Scienc...
New Families of Exact Excitations to (2+1)-Dimensional
Toda Lattice System via an Extended Projective Approach
extended projective approach DDEs Toda lattice exact solution
2007/8/15
2006Vol.45No.5pp.864-868DOI:
New Families of Exact Excitations to (2+1)-Dimensional
Toda Lattice System via an Extended Projective Approach
FANG Jian-Ping1, FEI Jin-Xi,1 and ZHENG...
Integrable System and Motion of Curves in Projective and
Similarity Geometries
motion of curve similarity geometry projective geometry integrable equation
2007/8/15
2006Vol.45No.1pp.45-48DOI:
Integrable System and Motion of Curves in Projective and
Similarity Geometries
HOU Yu-Qing
Department of Electronics, Northwest University, Xi...