Complexified diffeomorphism groups, totally real submanifolds and Kähler-Einstein geometry
Let (M, J) be an almost complex manifold. We show that the infinite-dimensional space T of totally real submanifolds in M carries a natural connection. This induces a canonical notion of geodesics in T and a corresponding definition of when a functional f : T → R is convex. Geodesics in T can be exp...
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| Médium: | Journal article |
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American Mathematical Society
2018
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