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Timeline for Geometry of the complex quadric

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Oct 26, 2016 at 19:47 comment added 314159. Indeed, although the complex quadric is described explicitly in Vol. 2, Example 10.6, page 278, of the book ok Kobayashi and Nomizu, nothing is said for submanifolds. If you are interested in totally geodesic submanifolds of $Q_{n}$, see the paper ''Totally geodesic submanifolds of the complex quadric'', of S. Klein and the references therein.
Oct 26, 2016 at 8:07 comment added alvarezpaiva Unfortunately Kobayashi and Nomizu don't treat the geometry of submanifolds in this geometry.
Oct 26, 2016 at 8:07 comment added alvarezpaiva Thanks for the answer. What do you mean by Möbius transformations on the quadric (when its complex dimension is not 1)?
Oct 26, 2016 at 0:11 history edited 314159. CC BY-SA 3.0
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Oct 25, 2016 at 23:58 history answered 314159. CC BY-SA 3.0