NAGATOMO Yasuyuki
Department Undergraduate School , School of Science and Technology Position Professor |
|
Research Period | 2011/04~2015/03 |
Research Topic | Development of Integrable Geometry |
Research Type | KAKENHI Research |
Consignor | Japan Society for the Promotion of Science |
Research Program Type | Grant-in-Aid for Scientific Research (B) |
KAKENHI Grant No. | 23340012 |
Responsibility | Collaborative Researcher |
Representative Person | MIYAOKA Reiko |
Collaborative Researcher | MOTOKO Kotani, NISHINOU Takeo, UEHARA Taketo, MATSUURA Nozomu, IWASAKII Katunori, IRITANI Hiroshi, KAJIWARA Kenji, NAGATOMO Yasuyuki, NOMURA Takaaki, YAMADA Kotaro, ISHIKAWA Goo, UMEHARA Masaaki, GUEST Martin A., SHODA Toshihiro, FUTAKI Akito, FUJIOKA Atsushi, WAYNE Rossman, TAMARU Hiroshi |
Details | We show the non-existence of L2 harmonic 1-form on a complete non-compact stable minimal Lagrangian submanifolds in a Kaheler manifold with positive Ricci curvature. Then the number of non-parabolic ends is less than two, and in the surface case, the genus should vanish. The Floer theory on the intersection of a Lagrangian submanifold with its Hamiltonian deformation is investigated. The Gauss images of isoparametric hypersurfaces in the sphere are Lagrangian submanifolds of complex hyperquadric, and in this case, we show that if the multiplicities of the principal curvatures are bigger than 1, then they are Hamiltonian non-displaceable, |