Mathematical Physics

    

On the Geometrical Optics and the Atiyah-Singer Index Theorem

Authors: Miftachul Hadi

We assume that the curvature in the Atiyah-Singer index theorem is related with the Riemann-Christoffel curvature tensor where the Riemann-Christoffel curvature tensor is decomposed into the unrestricted electric (scalar) potential part and the restricted magnetic (vector) potential part. This decomposition is a consequence of the magnetic symmetry existence for the gauge potential in the geometrical optics.

Comments: Written in English, 2 pages, no figure.

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Submission history

[v1] 2021-08-03 22:08:58
[v2] 2021-08-16 20:08:25

Unique-IP document downloads: 299 times

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