Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Akito Futaki"'
Autor:
Akito Futaki
Publikováno v:
Pure and Applied Mathematics Quarterly. 17:27-53
We verify the extension to the zero section of momentum construction of Kaehler-Einstein metrics and Kaehler-Ricci solitons on the total space Y of positive rational powers of the canonical line bundle of toric Fano manifolds with possibly irregular
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d41a8d436df01ce47a2f5e811bfd547
https://doi.org/10.4310/pamq.2021.v17.n1.a2
https://doi.org/10.4310/pamq.2021.v17.n1.a2
Autor:
Akito Futaki
We show that transverse coupled K\"ahler-Einstein metrics on toric Sasaki manifolds arise as a critical point of a volume functional. As a preparation for the proof, we re-visit the transverse moment polytopes and contact moment polytopes under the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4323c364993ddcd33b8a8a9cb1a1f97
Autor:
Akito Futaki, Hajime Ono
Publikováno v:
Journal of Symplectic Geometry. 18:123-145
We show that if a compact Kaehler manifold $M$ of non-negative Ricci curvature admits closed Fedosov star product then the reduced Lie algebra of holomorphic vector fields on $M$ is reductive. This comes in pair with the obstruction previously found
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6870cbbffecfa94ae39219c3513492c2
https://doi.org/10.4310/jsg.2020.v18.n1.a3
https://doi.org/10.4310/jsg.2020.v18.n1.a3
Autor:
Akito Futaki, Yingying Zhang
Publikováno v:
Science China Mathematics. 64:1447-1462
Motivated by the study of coupled K\"ahler-Einstein metrics by Hultgren and Witt Nystr\"om and coupled K\"ahler-Ricci solitons by Hultgren, we study in this paper coupled Sasaki-Einstein metrics and coupled Sasaki-Ricci solitons. We first show an iso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c19b6506d03589829ab88e1cbfd74d6c
https://doi.org/10.1007/s11425-018-9499-y
https://doi.org/10.1007/s11425-018-9499-y
Autor:
Yingying Zhang, Akito Futaki
Publikováno v:
Journal of the Mathematical Society of Japan. 73
We obtain a residue formula for an obstruction to the existence of coupled Kahler–Einstein metrics described by Futaki–Zhang. We apply it to an example studied separately by Futaki and Hultgren which is a toric Fano manifold with reductive automo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d50764851e86822b0bcf33e9936e3af4
https://doi.org/10.2969/jmsj/83558355
https://doi.org/10.2969/jmsj/83558355
Autor:
Duong H Phong, Yum-Tong Siu, Robert Bryant, Albert Chau, Elisha Falbel, Charles Fefferman, Robert Friedman, John Morgan, Akito Futaki, Phillip Griffiths, Joseph J Kohn, Ngaiming Mok, Shigefumi Mori, Makoto Namba, Junjiro Noguchi, Takeo Ohsawa, Mikio Sato, Shing-Tung Yau
Publikováno v:
Notices of the American Mathematical Society. 69:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1ac532c5e47e8963ffe492e8cfe2368
https://doi.org/10.1090/noti2480
https://doi.org/10.1090/noti2480
Autor:
Akito Futaki, Hajime Ono
Publikováno v:
Mathematische Zeitschrift. 292:571-589
Let (M, g) be a compact Kahler manifold and f a positive smooth function such that its Hamiltonian vector field $$K = J\mathrm {grad}_g f$$ for the Kahler form $$\omega _g$$ is a holomorphic Killing vector field. We say that the pair (g, f) is confor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2cc25e904ca654eb543075158c5d2e9
https://doi.org/10.1007/s00209-018-2112-3
https://doi.org/10.1007/s00209-018-2112-3
Autor:
Hajime Ono, Akito Futaki
Publikováno v:
Geometric Analysis ISBN: 9783030349523
In this expository paper we review on the existence problem of Einstein–Maxwell Kahler metrics, and make several remarks. Firstly, we consider a slightly more general set-up than Einstein–Maxwell Kahler metrics, and give extensions of volume mini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::776be0c8ec71510688a140e439ff0532
https://doi.org/10.1007/978-3-030-34953-0_6
https://doi.org/10.1007/978-3-030-34953-0_6
Autor:
Akito Futaki, Laurent La Fuente-Gravy
Publikováno v:
Journal of Geometry and Physics. 163:104118
It is shown that the normalized trace of Fedosov star product for quantum moment map depends only on the path component in the cohomology class of the symplectic form and the cohomology class of the closed formal 2-form required to define Fedosov con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a1d45bb818e90b1bba2c09af2dc09ad
https://doi.org/10.1016/j.geomphys.2021.104118
https://doi.org/10.1016/j.geomphys.2021.104118
Publikováno v:
Asian Journal of Mathematics. 21:1015-1062
We study the behavior under Gromov-Hausdorff convergence of the spectrum of weighted $\barpartial$-Laplacian on compact Kahler manifolds. This situation typically occurs for a sequence of Fano manifolds with anticanonical Kahler class. We apply it to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78759351f0554647ccda1775402c0fa0
https://doi.org/10.4310/ajm.2017.v21.n6.a2
https://doi.org/10.4310/ajm.2017.v21.n6.a2