affine connection in a sentence

"affine connection" in Chinese  
  1. Curvature and torsion are the main invariants of an affine connection.
  2. On any manifold of positive dimension there are infinitely many affine connections.
  3. Much like affine connections, projective connections also define geodesics.
  4. Given an arbitrary linear connection \ Gamma on TX, the corresponding affine connection
  5. There are different physical interpretations of the translation part \ Theta of affine connections.
  6. It's difficult to find affine connection in a sentence.
  7. The affine connection may be used for defining torsion, like is usual in Riemannian geometry.
  8. Although he initially assumed a symmetric affine connection, like Einstein he later considered the nonsymmetric field.
  9. However, this approach does not explain the geometry behind affine connections nor how they acquired their name.
  10. To take the metric and affine connection as independent variables in the action principle was first considered by Palatini.
  11. This extension of the notion of affine spaces to manifolds in general is developed in the article on the affine connection.
  12. An affine connection is called complete if the exponential map is well-defined at every point of the tangent bundle.
  13. The main invariants of an affine connection are its Lie bracket of vector fields can be recovered from the affine connection.
  14. The main invariants of an affine connection are its Lie bracket of vector fields can be recovered from the affine connection.
  15. The curvature tensor can also be defined for any pseudo-Riemannian manifold, or indeed any manifold equipped with an affine connection.
  16. A basic result of differential geometry states that normal coordinates at a point always exist on a manifold with a symmetric affine connection.
  17. More:   1  2  3  4

Related Words

  1. affine bundle in a sentence
  2. affine chain in a sentence
  3. affine cipher in a sentence
  4. affine combination in a sentence
  5. affine cone in a sentence
  6. affine connection space in a sentence
  7. affine control system in a sentence
  8. affine coordinate in a sentence
  9. affine coordinate ring in a sentence
  10. affine coordinate system in a sentence
PC Version日本語日本語