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- W1572175342 abstract "For any Lagrangian Kähler submanifold $M subset T^*mathbb {C}^n$, there exists a canonical hyper Kähler metric on $T^*M$. A Kähler potential for this metric is given by the generalized Calabi Ansatz of the theoretical physicists Cecotti, Ferrara and Girardello. This correspondence provides a method for the construction of (pseudo) hyper Kähler manifolds with large automorphism group. Using it, an interesting class of pseudo hyper Kähler manifolds of complex signature $(2,2n)$ is constructed. For any manifold $N$ in this class a group of automorphisms with a codimension one orbit on $N$ is specified. Finally, it is shown that the bundle of intermediate Jacobians over the moduli space of gauged Calabi Yau 3-folds admits a natural pseudo hyper Kähler metric of complex signature $(2,2n)$." @default.
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- W1572175342 date "1998-01-01" @default.
- W1572175342 modified "2023-10-15" @default.
- W1572175342 title "On hyper Kähler manifolds associated to Lagrangian Kähler submanifolds of $T^ast mathbb {C}^n$" @default.
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- W1572175342 doi "https://doi.org/10.1090/s0002-9947-98-02156-4" @default.
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