Zobrazeno 1 - 10 of 70 pro vyhledávání: '"Bo Berndtsson"'
4
Complex Legendre duality
Autor: Bo'az Klartag, Yanir A. Rubinstein, Dario Cordero-Erausquin, Bo Berndtsson
Publikováno v: American Journal of Mathematics
American Journal of Mathematics, Johns Hopkins University Press, 2020, 142 (1), pp.323-339. ⟨10.1353/ajm.2020.0008⟩
We introduce complex generalizations of the classical Legendre transform, operating on K\"ahler metrics on a compact complex manifold. These Legendre transforms give explicit local isometric symmetries for the Mabuchi metric on the space of K\"ahler
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97b6c08082ac1bfaac396044f665a547
https://doi.org/10.1353/ajm.2020.0008
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5
Complex interpolation of $\mathbb R$-norms, duality and foliations
Autor: Bo'az Klartag, Dario Cordero-Erausquin, Bo Berndtsson, Yanir A. Rubinstein
Publikováno v: Journal of the European Mathematical Society. 22:477-505
The complex method of interpolation, going back to Calderon and Coifman et al., on the one hand, and the Alexander–Wermer–Slodkowski theorem on polynomial hulls with convex fibers, on the other hand, are generalized to a method of interpolation o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2e9ebc5e2a6bae67daeaed3dd3fe821d
https://doi.org/10.4171/jems/927
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7
Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem
Autor: Bo Berndtsson
We give a proof of the Bourgain-Milman theorem using complex methods. The proof is inspired by Kuperberg's, but considerably shorter.
Comment: 7 pages. Correction of proof of Lemma 2.2 plus some minor changes. In the final version there are addi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c466683dc49372c01764e307664ce55
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8
Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics
Autor: Robert J. Berman, Bo Berndtsson
Publikováno v: Journal of the American Mathematical Society. 30:1165-1196
We establish the convexity of Mabuchi’s K K -energy functional along weak geodesics in the space of Kähler potentials on a compact Kähler manifold, thus confirming a conjecture of Chen, and give some applications in Kähler geometry, including a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::95b3875d122a5868328c740ef4a24407
https://doi.org/10.1090/jams/880
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