| Budget Amount *help |
¥3,340,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,000,000 (Direct Cost: ¥1,000,000)
|
|---|
| Research Abstract |
We show that any 3-sphere embedded in the 6-sphere can be obtained by performing the operation called spinning about submanifold, introduced by Dennis Roseman in 1989. Also, we analyze the possible values of a certain Hopf invariant, which is defined for such a 3-sphere embedded in the 6-sphere. And also, for a given immersion of the 3-sphere into the 4-space, we give a formula with which we can read off its bordism class from some geometric information on singularities of its extension by a generic map.
|
