Wednesday, 25 October 2017

Glossary of Grassmann Language

Glossary of Grassmann Language
  • (N+1) dimensional complex space
  • Unitary group
    • Unitary frame
    • Maurer-Cartan structure equation
  • Bott theorem
    • Almost complex structure
  • Grassmann manifold
    • (k+1) dimensional linear subspace
    • k dimensional linear projective subspace
  • Desposable
  • Exterior product
  • Cayley-Plücker-Grassmann coordinates
  • Schubert manifold
  • Stiefel manifold
  • Classifying space
    • Uiversal vector bundle
  • Hermitian structure
    • Hermitian inner product
  • Norm
  • Kähler form
    • Kähler measuring
  • Curvature form
    • Curvature matrix
  • Gauss-Bonnet formura
    • Gauss-Bonnet theorem

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