Lu, Wen, Ma, Xiaonan and Marinescu, George ORCID: 0000-0001-6539-7860
(2020).
Optimal convergence speed of Bergman metrics on symplectic manifolds.
J. Symplectic Geom., 18 (4).
S. 1091 - 1127.
SOMERVILLE:
INT PRESS BOSTON, INC.
ISSN 1540-2347
Abstract
It is known that a compact symplectic manifold endowed with a prequantum line bundle can be embedded in the projective space generated by the eigensections of low energy of the Bochner Laplacian acting on high p-tensor powers of the prequantum line bundle. We show that the Fubini-Study forms induced by these embeddings converge at speed rate 1/p(2) to the symplectic form. This result implies the generalization to the almost-Kahler case of the lower bounds on the Calabi functional given by Donaldson for Kahler manifolds, as shown by Lejmi and Keller.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-349773 | ||||||||||||||||
Journal or Publication Title: | J. Symplectic Geom. | ||||||||||||||||
Volume: | 18 | ||||||||||||||||
Number: | 4 | ||||||||||||||||
Page Range: | S. 1091 - 1127 | ||||||||||||||||
Date: | 2020 | ||||||||||||||||
Publisher: | INT PRESS BOSTON, INC | ||||||||||||||||
Place of Publication: | SOMERVILLE | ||||||||||||||||
ISSN: | 1540-2347 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||||||
Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
Uncontrolled Keywords: |
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/34977 |
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