| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
A double fibration concerning to the associative Grassmann manifold is studied via method of twistor theory, and its unknown geometric structure is studied. An explicit description of G2 Lie algebra is studied, and a new description of Hopf fibration is obtained as its application. Topological properties of homogeneous spaces with G2 symmetry is also studied. We succeeded to obtain an explicit description of geometric structures of such homogeneous spaces by making use of moving frame method. We also find that most of these homogeneous spaces are realized in terms of tautological vector bundle over the associative Grassmann manifold.
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