caa a22 4500 463248295 CHVBK 20180405153332.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10455-006-9037-5 doi (NATIONALLICENCE)springer-10.1007/s10455-006-9037-5 Ono Hajime Department of Mathematics, Tokyo Institute of Technology, Oh-okayama 2-12-1, 152-8551, Meguro-ku, Tokyo, Japan aut Hamiltonian stability of Lagrangian tori in toric Kähler manifolds [Elektronische Daten] [Hajime Ono] Let (M,J,ω) be a compact toric Kähler manifold of dimℂ M=n and L a regular orbit of the T n-action on M. In the present paper, we investigate Hamiltonian stability of L, which was introduced by Y.-G. Oh (Invent. Math. 101, 501-519 (1990); Math. Z. 212, 175-192) (1993)). As a result, we prove any regular orbit is Hamiltonian stable when (M,ω)=ℂℙn,ωFS) and (M,ω)=ℂℙn 1× ℂℙn 2,aωFS⊕ bωFS), where ωFS is the Fubini-Study Kähler form and a and b are positive constants. Moreover, they are locally Hamiltonian volume minimizing Lagrangian submanifolds. Springer Science + Business Media, B.V., 2007 Lagrangian submanifold nationallicence Toric Kähler manifold nationallicence Hamiltonian stability nationallicence Annals of Global Analysis and Geometry Kluwer Academic Publishers 31/4(2007-06-01), 329-343 0232-704X 31:4<329 2007 31 10455 https://doi.org/10.1007/s10455-006-9037-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10455-006-9037-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ono Hajime Department of Mathematics, Tokyo Institute of Technology, Oh-okayama 2-12-1, 152-8551, Meguro-ku, Tokyo, Japan aut NATIONALLICENCE 773 0- Annals of Global Analysis and Geometry Kluwer Academic Publishers 31/4(2007-06-01), 329-343 0232-704X 31:4<329 2007 31 10455 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer