contact geometry

名词 n.

英文释义

名词 n.
  1. Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form; countable
    — The defining conditions for a contact geometry are opposite to two equivalent conditions for complete integrability of a hyperplane distribution: i.e. that it be tangent to a codimension 1 foliation on the manifold, whose equivalence is the content of the Frobenius theorem.
  2. Given a smooth manifold of odd dimensionality, a distribution (subset) of the tangent bundle that satisfies the condition of complete nonintegrability, or equivalently may be locally defined as the kernel of a maximally nondegenerate differential 1-form; (uncountable) the study of such structures.; the study of such structures. uncountable
  3. Used other than figuratively or idiomatically: see contact, geometry. countable,uncountable
    — 1998 [Kluwer Academic], L.-S. Fan, et al., Chapter 4: Sorbent Transfer and Dispersion, Barbara Toole-O'Neil (editor), Dry Scrubbing Technologies for Flue Gas Desulfurization, 1998, Springer, page 263, Surfaces of even the large hydrate particles have rounded protrusions and are best represented by a sphere-sphere contact geometry.

词形变化

contact geometries plural
0 次浏览 数据来源: Wiktionary