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The exponential map of the complexification of the group of analytic Hamiltonian diffeomorphisms

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Publication:2074848
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DOI10.4310/PAMQ.2022.v18.n1.a2zbMath1489.53095WikidataQ114020789 ScholiaQ114020789MaRDI QIDQ2074848

Reebhu Bhattacharyya, Alejandro Uribe, Daniel M. jun. Burns, Ernesto Lupercio

Publication date: 11 February 2022

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)


zbMATH Keywords

Kähler manifoldexponential mapequations of motionnon-Hermitian quantum mechanicsgeodesics space of Kähler metricsgroup of Hamiltonian symplectomorphismsMabuchi geodesic rays


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geometry and quantization, symplectic methods (81S10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)


Related Items (4)

Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds ⋮ Canonical domains for coadjoint orbits ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ A new approximation method for geodesics on the space of Kähler metrics




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