tangent space वाक्य
उदाहरण वाक्य
मोबाइल
- A Riemannian manifold is a differentiable manifold on which the tangent spaces are equipped with inner products in a differentiable fashion.
- Completeness here is understood in the sense that the exponential map is defined on the whole tangent space of a point.
- In some cases, one might like to have a direct definition of the cotangent space without reference to the tangent space.
- The ( local ) de Rham isomorphism follows by continuing this process until a complete reduction of the tangent space is achieved:
- The metric tensor g _ { \ alpha \ beta } \ ! gives the inner product in the tangent space directly:
- A manifold which admits a smooth choice of orientations for its tangents spaces is said to be " orientable ".
- For example, the blowup of a point in a plane replaces the point with the projectivized tangent space at that point.
- Quadratic differentials on a Riemann surface X are identified with the tangent space at ( X, f ) to Teichm�ller space.
- A frame ( or, in more precise terms, a tangent frame ) is an ordered basis of particular tangent space.
- The tangent space at " p " is isometric as a real inner product space to E 1, 3.
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