0000000001075023

AUTHOR

Lorenzo Nicolodi

showing 1 related works from this author

Symplectic Applicability of Lagrangian Surfaces

2009

We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their integrability equa- tions. The invariant setup is applied to discuss the question of symplectic applicability for elliptic Lagrangian immersions. Explicit examples are considered.

Mathematics - Differential GeometryPure mathematicsdifferential invariantsSymplectic vector spaceFOS: MathematicsSymplectomorphismMoment mapMathematics::Symplectic GeometryMathematical PhysicsMathematicsSymplectic manifoldapplicabilityLagrangian surfaceslcsh:MathematicsMathematical analysisSymplectic representationmoving frameslcsh:QA1-939Symplectic matrixaffine symplectic geometryAffine geometry of curvesDifferential Geometry (math.DG)Lagrangian surfaces; affine symplectic geometry; moving frames; differential invariants; applicability.Geometry and TopologyAnalysisSymplectic geometry
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