riemannian geometry वाक्य
उदाहरण वाक्य
मोबाइल
- It claims that thermodynamic systems can be represented by Riemannian geometry, and that statistical properties can be derived from the model.
- It was not until much later that holonomy groups would be used to study Riemannian geometry in a more general setting.
- For instance, in relativity or Riemannian geometry, orthonormal frames are used to obtain a description of the Levi-Civita connection as a Cartan connection.
- His many other mathematical contributions include important theorems in Riemannian geometry and work on physics-related topics such as gauge theory and mirror symmetry.
- In Riemannian geometry geodesics are not the same as " shortest curves " between two points, though the two concepts are closely related.
- For example, the Hamilton Jacobi equations can be used to determine the geodesics on a Riemannian manifold, an important variational problem in Riemannian geometry.
- In order to include electromagnetism into the geometry of general relativity, Hermann Weyl worked to generalize the Riemannian geometry upon which general relativity is based.
- The transportation problem as it is stated in modern or more technical literature looks somewhat different because of the development of Riemannian geometry and measure theory.
- The length of the minor arc of a great circle is taken as the distance between two points on a surface of a sphere in Riemannian geometry.
- The notion of a directional derivative of a function from multivariable calculus is extended in Riemannian geometry to the notion of a covariant derivative of a tensor.
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