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Timeline for Exposition of the Calabi complex

Current License: CC BY-SA 3.0

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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