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Deterministic time rewinding of waves in time-varying media. [PDF]
NanophotonicsKim S, Kim K.
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Highly robust anisotropic zero refraction effects in semi-Dirac photonic crystals. [PDF]
Sci RepWu J +7 more
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Structure of Dirac matrices and invariants for nonlinear Dirac equations
Structure of Dirac matrices and invariants for nonlinear Dirac equationsopenaire
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Closedness of Interconnected Dirac Structures
IFAC Proceedings Volumes, 1998Abstract In this paper we study the property of closedness (or integrability) of a Dirac structure. As a main result we show that any power-conserving state independent interconnection of closed Dirac structures again yields a closed Dirac structure. This is illustrated on the example of a feedback interconnection of Hamiltonian systems.
Blankenstein, G. +1 more
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Journal of Physics A: Mathematical and General, 1990
The lift of a closed 2-form Omega on a manifold Q to a closed 2-form on TQ may be achieved by pulling back the canonical symplectic structure on T*Q by the bundle map Omega : TQ to T*Q. It is also known how to lift a Poisson structure on Q to a Poisson structure on TQ. The author calls these lifted structures 'tangent' structures. The notion of a Dirac
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The lift of a closed 2-form Omega on a manifold Q to a closed 2-form on TQ may be achieved by pulling back the canonical symplectic structure on T*Q by the bundle map Omega : TQ to T*Q. It is also known how to lift a Poisson structure on Q to a Poisson structure on TQ. The author calls these lifted structures 'tangent' structures. The notion of a Dirac
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Dirac structures on protobialgebroids
Science in China Series A: Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yin, Yanbin, He, Longguang
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Dirac-nijenhuis structures on lie bialgebroids
Reports on Mathematical Physics, 2005The authors study necessary and sufficient conditions for a structure to be a Dirac Nijenhuis structure. This work is a continuation of a preceeding paper where the authors gave a compatibility condition for Dirac structures and Nijenhuis tensors on manifolds. The authors generalize the notion of Dirac Nijenhuis structures for Lie bialgebroids.
Liu, Baokang, He, Longguang
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2001
The Courant bracket defined originally on the sections of the vector bundle $TM \oplus T^*M \to M$ is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows to interpret many structures encountered in differential geometry in terms of Dirac structures. We give here a new approach to conformal Jacobi structures.
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The Courant bracket defined originally on the sections of the vector bundle $TM \oplus T^*M \to M$ is extended to the direct sum of the 1-jet vector bundle and its dual. The extended bracket allows to interpret many structures encountered in differential geometry in terms of Dirac structures. We give here a new approach to conformal Jacobi structures.
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