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,