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Geometry of weakly reflective submanifolds

Geometry of weakly reflective submanifolds
弱反射子流形的几何结构
批准号:
20740044
负责人:
SAKAI Takashi
金额:
$1.66万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008 至 2010

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中文摘要
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英文摘要
We studied weakly reflective submanifolds. We constructed cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere and observed their singularities and asymptotic behavior. We obtained a deformation of a special Lagrangian submanifold which is given as the conormal bundle of a weakly reflective submanifold in the sphere concretely. We also studied global tightness and the Floer homology of real forms of Hermitian symmetric spaces of compact type.
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会议论文
Tight Lagrangian submanifolds in some homogeneous Kahler manifolds
一些齐次卡勒流形中的紧拉格朗日子流形
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [Noguchi, K., Terashima, Y., Awaki, H., 酒井 高司]
通讯作者: 酒井 高司
Tight Lagrangian surfaces in S2 × S2
S2 × S2 中的紧拉格朗日曲面
DOI: 10.1007/s10711-009-9398-6
发表时间: 2010
期刊: Geometriae Dedicata
影响因子: 0.5
作者: [Hiroshi Iriyeh, T. Sakai]
通讯作者: T. Sakai
Absolutely area-minimizing cones over some minimal submanifolds in S^n
S^n 中一些最小子流形上的绝对面积最小化锥体
DOI: --
发表时间: 2009
期刊:
影响因子: --
作者: [橋本要, 酒井高司, 酒井高司, 酒井高司, Takashi Sakai, Takashi Sakai, 酒井高司, 酒井高司, 酒井高司, 酒井高司, Takashi Sakai, 酒井高司, 酒井高司, 酒井高司, 酒井高司]
通讯作者: 酒井高司
Introduction to integral geometry in Riemannian homogeneous spaces
黎曼齐次空间中的积分几何简介
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [H.Matsui, 他7名、N.Yoshida, 酒井高司]
通讯作者: 酒井高司
23
    Evaluation of hip translation in the native hips and treatment of the hip diseases
    Research on special Lagrangian submanifolds and their singularities
    • 批准号:
      26400073
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.75万
    • 财政年份:
      2014
    • 负责人:
      SAKAI Takashi
    • 依托单位:
    Fractal Analysis and Fast Fourier Transform Analysis for Healing Irregularity
    • 批准号:
      24603023
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $3.08万
    • 财政年份:
      2012
    • 负责人:
      SAKAI Takashi
    • 依托单位:
    Research on special Lagrangian submanifolds in non-flat Calabi-Yau manifolds
    • 批准号:
      23740057
    • 项目类别:
      Grant-in-Aid for Young Scientists (B)
    • 资助金额:
      $1.91万
    • 财政年份:
      2011
    • 负责人:
      SAKAI Takashi
    • 依托单位:
    海外基金