cotangent bundle sentence in Hindi

Examples

1. Like the tangent bundle the cotangent bundle is again a differentiable manifold.
2. The cylinder is the cotangent bundle of the circle.
3. The cotangent bundle has a canonical canonical one-form, the symplectic potential.
4. In that case, ? 1 is called the cotangent bundle of " X ".
5. Likewise, a 1-form on " M " is a section of the cotangent bundle.
6. :I didn't think that one out, T * S3 is the Cotangent bundle, see here.
7. On a ( pseudo-) Riemannian manifold, the geodesic flow is identified with a Hamiltonian flow on the cotangent bundle.
8. For the cotangent bundle of a manifold M, the Floer homology depends on the choice of Hamiltonian due to its noncompactness.
9. Thus we can regard covector fields not just as sections of the cotangent bundle, but also linear mappings of vector fields into functions.
10. The existence of such a vector field on " TM " is analogous to the canonical one-form on the cotangent bundle.