induced metric meaning in Hindi

Examples

1. The induced metric on this submanifold,
2. A separable measure space has a natural quotient set can be properly metrized by the induced metric.
3. There remains ambiguity in the action up to an arbitrary functional of the induced metric h _ { ab }.
4. Because the induced metric is fixed on \ partial \ mathcal { M }, the only quantity to be varied is K is the trace of the extrinsic curvature.
5. The precise form of the Hartle Hawking state is the path integral over all " D "-dimensional geometries that have the required induced metric on their boundary.
6. It is the Hausdorff distance between the unit balls of the two C *-algebras, under the norm-induced metric on the space of all bounded operators on that Hilbert space.
7. In mathematics, a "'polar action "'is a proper and flat with respect to the induced metric, then the action is called "'hyperpolar " '.
8. A point " p " in a Riemannian submanifold is umbilical if, at " p ", the ( vector-valued ) Second fundamental form is some normal vector tensor the induced metric ( First fundamental form ).
9. Although the induced metric of g _ 1 and g _ 2 will agree on \ Sigma _ 2, the normal derivative of g _ 1 at \ Sigma _ 2 will not in general be equal to that of g _ 2 at \ Sigma _ 2.
10. X ^ \ mu ( \ xi ) is the field on the worldsheet describing the embedding of the string in 25 + 1 spacetime; in the Polyakov formulation, g is not to be understood as the induced metric from the embedding, but as an independent dynamical field.