21 февр. 2012 г. · Stokes' theorem really does is relate the integral of an n-form over a boundary to the integral of its exterior derivative over the enclosed submanifold. Integration by parts in general relativity - boundary terms and ... A calculation about Stoke's Formula in General Relativity Другие результаты с сайта physics.stackexchange.com

In vector calculus and differential geometry the generalized Stokes theorem also called the Stokes–Cartan theorem, is a statement about the integration of ... Introduction · Generalization to rough sets · Special cases

Продолжительность: 53:13
Опубликовано: 3 янв. 2023 г.

The theorem relates the integral of the curl of the vector field over some surface, to the line integral of the vector field around the boundary of the surface.

3 окт. 2018 г. · Stokes' theorem – First consider a 4-volume V covered by a single coordinate system. Since ∇µV µ is a scalar field, we may compute its ...

2 июл. 2024 г. · Stokes' theorem is then applied to the conservation of energy-momentum in general relativity under the existence of so called Killing vectors.

Stokes' Theorem states that if there is an n-dimensional orientable manifold M {\displaystyle {\mathcal {M}}} {\displaystyle {\mathcal {M}}} ...

16 дек. 2019 г. · Stokes' theorem has the important property that it converts a high-dimensional integral into a lower-dimensional integral over the closed boundary of the ...

Proving Stokes' theorem is acutally fairly boring; all the work is already done in the fundamental theorem. The proof is quite similar to the proof of the ...

20 окт. 2008 г. · Stokes' theorem is a fundamental result in differential geometry that relates the integral of a differential form over a manifold to the ... On an alternative Stokes theorem - Physics Forums Alternate forms of Stokes' theorem? Are they correct? Are they ... Green's theorem in tensor (GR) notation - Physics Forums Другие результаты с сайта www.physicsforums.com