covariant derivative वाक्य
उदाहरण वाक्य
मोबाइल
- See also gauge covariant derivative for a treatment oriented to physics.
- The covariant derivative can in turn be recovered from parallel transport.
- It defines a covariant derivative \ mathcal { D } _ a.
- Thus the covariant derivative of a supermultiplet is another supermultiplet.
- The most popular approach is probably the definition motivated by covariant derivatives.
- In curved space-time, we must take the covariant derivative.
- Even to formulate such equations requires a fresh notion, the covariant derivative.
- The covariant derivative defined with the spin connection is,
- The covariant derivative is a generalization of the directional derivative from vector calculus.
- The above differential equation can be rewritten in terms of the covariant derivative as
- The connection associated with this covariant derivative is completely determined by the tetrad.
- The covariant derivative is convenient however because it commutes with raising and lowering indices.
- Where the semicolon represents a covariant derivative, and the brackets denote anti-symmetrization.
- The main strategy of the algorithm is to take covariant derivatives of the Riemann tensor.
- The function is determined by the requirement that the covariant derivative of along is 0.
- The equation for the covariant derivative can be written down in terms of Christoffel symbols.
- In general relativity, the partial derivatives used in special relativity are replaced by covariant derivatives.
- The curvature formula can also be expressed in terms of the second covariant derivative defined as:
- Sometimes \ Box is used to represent the four-dimensional Levi-Civita covariant derivative.
- The covariant derivative of a tensor field is presented as an extension of the same concept.
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