Timeline for generalisation of Cauchy-Riemann equations to 3D
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 26, 2021 at 11:43 | comment | added | Ben McKay | The link to the Atlas now points to another link, which is dead. | |
| May 15, 2012 at 3:20 | comment | added | curious | ps: i tried using maple's "casesplit" command but it blew up my computer [4gig]... | |
| May 15, 2012 at 3:19 | comment | added | curious | I wrote down a system of overdetermined PDE's that such harmonic morphism must satisfy. But it seems like a large system containing 8 equations; I am at a loss as to how to reduce it... lots of structure though... | |
| May 15, 2012 at 0:28 | history | edited | Robert Bryant | CC BY-SA 3.0 |
Fixed the link (crudely, but I couldn't seem to make the standard way work)
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| May 15, 2012 at 0:19 | history | edited | Robert Bryant | CC BY-SA 3.0 |
Added reference material
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| May 14, 2012 at 22:04 | comment | added | Paul Reynolds | To expound: the paper "Bent Fuglede, Harmonic morphisms between Riemannian manifolds, Ann. Inst. Fourier (Grenoble) 28 (1978)" is (I think) the first paper where the term 'harmonic morphism' is defined. There is some overlap with the paper by Ishihara in Igor's answer as these were published around the same time. Note that harmonic morphisms are not the same as harmonic maps or maps that commute with the Laplacian ("Bill Watson, Manifold maps commuting with the Laplacian, J. Differential Geometry 8 (1973)"). | |
| May 14, 2012 at 21:19 | history | edited | Robert Bryant | CC BY-SA 3.0 |
Fixed a notational conflict
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| May 14, 2012 at 20:57 | history | answered | Robert Bryant | CC BY-SA 3.0 |