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