tensor field sentence in Hindi

Examples

1. On a manifold, a tensor field will typically have multiple indices, of two sorts.
2. The covariant derivative of a tensor field is presented as an extension of the same concept.
3. Nowadays, one recognizes this as a single antisymmetric 2nd-rank tensor field in spacetime.
4. The divergence of a continuously differentiable second-order tensor field is a first-order tensor field:
5. The divergence of a continuously differentiable second-order tensor field is a first-order tensor field:
6. suggestively, replacing the vector field with a rank-tensor field, this can be generalized to:
7. In general, one can define various divergence operations on higher-rank tensor fields, as follows.
8. More precisely, a tensor field assigns to any given point of the manifold a tensor in the space
9. This handles the formulation of variation of a tensor field " along " a vector field.
10. The components of this derivative of a tensor field transform covariantly, and hence form another tensor field.