Timeline for Exposition of the Calabi complex
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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May 18, 2021 at 18:16 | comment | added | YangMills | Calabi's original paper is available electronically from the AMS website ams.org/books/pspum/003 behind a paywall (you may perhaps have institutional access) | |
May 18, 2021 at 17:38 | answer | added | Igor Khavkine | timeline score: 5 | |
Apr 10, 2014 at 10:40 | comment | added | Dan Fox | The main result of Calabi's 1961 paper is a construction of a resolution of the sheaf of germs of Killing field on a Riemannian manifold of constant sectional curvature. The first operators come from the Lie derivative, and the linearized curvature. There is a 1975 paper by Bernard Bergery, Bourguignon, and Lafontaine called "Déformations localemente triviales des variétés riemanniennes" that contains a detailed exposition and some further results. There is a 1984 book of Gasqui and Goldschmidt that treats related material. | |
Apr 10, 2014 at 9:58 | comment | added | shuhalo | Thanks for the comment. Curiously, the publication year is either given as 1961 or 1971 in different citations, and the respective volume is missing in the AMS book store. | |
Apr 9, 2014 at 23:47 | comment | added | Robert Bryant | You might ask Mike Eastwood or Andreas Cap. I think that this comes up as a BGG sequence for the appropriate groups, and I think that they have written about this in recent times. | |
Apr 9, 2014 at 20:36 | history | asked | shuhalo | CC BY-SA 3.0 |