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| bio | website | robertfilter.de |
|---|---|---|
| location | Jena, Germany | |
| age | 30 | |
| visits | member for | 2 years, 7 months |
| seen | Feb 4 at 14:03 | |
| stats | profile views | 205 |
If you like electrodynamic problems with solutions and their connections to current research, please visit www.problemsinelectrodynamics.com
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Dec 11 |
accepted | Does a Fourier transformation on a (pseudo-)Riemannian manifold make sense? |
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Dec 11 |
comment |
Does a Fourier transformation on a (pseudo-)Riemannian manifold make sense? Thank you very much for your thoughtful and detailed answer. If I got you correctly, the notion only makes sense for the existence of a timelike killing vector, say $\partial_t$. This should imply that a time <> frequency FT only makes sense for stationary solutions in which the quotient manifold $M/\psi_t$ ($\psi_t$ being the local flux to $\partial_t$) exists. Hence, the FT is only feasible for dynamical field theories if the dynamics are independent from the (background) metric. |
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Dec 11 |
awarded | Supporter |
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Dec 11 |
awarded | Student |
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Dec 11 |
asked | Does a Fourier transformation on a (pseudo-)Riemannian manifold make sense? |
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Dec 7 |
awarded | Teacher |
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Dec 6 |
answered | Why study “curves” instead of 1-manifolds? |
