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Geometry vs Symplectic - What's the difference?

geometry | symplectic |

As a noun geometry

is (mathematics|uncountable) the branch of mathematics dealing with spatial relationships.

As an adjective symplectic is

(mathematics) describing the geometry of differentiable manifolds equipped with a closed, nondegenerate.

geometry

English

(wikipedia geometry)

Noun

  • (mathematics, uncountable) the branch of mathematics dealing with spatial relationships
  • (mathematics, countable) a type of geometry with particular properties
    • spherical geometry
  • (countable) the spatial attributes of an object, etc.

    • Holonyms

    * mathematics

    Derived terms

    * absolute geometry * affine geometry * algebraic geometry * analytic geometry * chronogeometry * combinatorial geometry * descriptive geometry * differential geometry * elementary geometry * elliptic geometry * Euclidean geometry * finite geometry * fractal geometry * geometry of numbers * hyperbolic geometry * hypergeometry * non-Euclidean geometry * projective geometry * Riemannian geometry * spherical geometry * taxicab geometry * tropical geometry

    Related terms

    * geometer * geometrical

    External links

    * * * Wikibooks electronic book on geometry * Mathworld article on geometry

    symplectic

    English

    Adjective

    (-)
  • (mathematics) Describing the geometry of differentiable manifolds equipped with a closed, nondegenerate

    • External links

    * (wikipedia "symplectic")

    References

    * etymology of symplectic, by (Murray Gell-Mann). * The Symplectization of Science, Mark J. Gotay and , p. 13