Certain Type of Connections & Deformation on Differentiable Manifolds
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In 1880, E.B. Christoffel introduced the idea of derivative of one vector field along another vector field under the coordinate transformation, which are known by Christffel symbols. In between 1880, Greogorio Ricci-Curbastro and his student Tullio Levi-Civita studied on affine connection. An affine connection is a geometrical object on a differentiable manifold which connects tangent vector field with the nearby tangent vector field. An affine connection can be deffined by many equivalent ways. In an n-dimensional manifold, (n 1); there are infinitely many affine connections. Now we shall consider the definition of affine connection and Levi-Civita connection.
| Autor: | Patra, Chinmoy |
| Nakladatel: | LAP Lambert Academic Publishing |
| Rok vydání: | 2018 |
| Jazyk : | Angličtina |
| Vazba: | Paperback / softback |
| Počet stran: | 208 |