symplectic

Etymology

Definitions

1. 1

   Placed in or among, as if woven together.

2. 2

   Whose characteristic abelian subgroups are cyclic.

3. 3

   That is alternating and nondegenerate.

4. ›+ 6 more definitionsshow fewer

   1. 4

      That is equipped with an alternating nondegenerate bilinear form.

   2. 5

      Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed…

      Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.

      • There exist interesting and unexplored relations between symplectic geometry and the theory of critical points of holomorphic functions.
      • 1997, C. H. Cushman-de Vries (translator), Richard H. Cushman, Gijs M. Tuynman (translation editors), Jean-Marie Souriau, Structure of Dynamical Systems: A Symplectic View of Physics, Springer Science & Business Media (Birkhäuser).
      • 2003, Fabrizio Catanese, Gang Tian (editors), Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E Summer School, Springer, Lecture Notes in Mathematics No. 1938.
   3. 6

      That moves in the same direction as a system of synchronized waves.

   4. 7

      Of or pertaining to a symplectite

      Of or pertaining to a symplectite; symplectitic.

   5. 8

      A symplectic bilinear form, manifold, geometry, etc.

      • The structure of stable symplectics on finite dimensional spaces has been studied by Krein [8], Gelfand & Lidskii [9], and Moser [10] in work of considerable practical importance.
   6. 9

      A bone in the teleostean fishes that forms the lower ossification of the suspensorium,…

      A bone in the teleostean fishes that forms the lower ossification of the suspensorium, and which articulates below with the quadrate bone by which it is firmly held.

      • The symplectics (9) consist of a somewhat curved central triangular portion with the base upward, and anteriorly and posteriorly from this extends a wing-like process.
      • The symplectics (Fig. 8, sym) are thin slender bones placed vertically in between the quadrates and the hyomandibulars.
      • In many teleosts, on the other hand, including the catfishes, the symplectics have been entirely lost.

The neighborhood

• antonymantiplectic
• neighborsymplectomorphism