Question

How to visualize a sphere bundle?

Answer 1

I can see that the boundary of Dϵ(W6)Dϵ(W6) should be a 10 dimensional manifold. Further, since the transverse space has 5 dimensions, and S4S4 is the coset SO(5)/SO(4)SO(5)/SO(4). So there should be 4-sphere somewhere. What I do not directly see how is this is a ``4-sphere bundle''. Does that adequately address my puzzlement? I should say that I am trying to get more comfortable with this language, and have only fuzzy notions of it. So if you can suggest a more natural transition for a physics student to appreciate it, or maybe some references

Answer 2

Hye !!

So here's your answer !!

_______________________________________

➡To visualize a sphere bundle comes under the part of group theory .

➡It also considers a notation for visualizing the sphere bundle

➡Notation :-

➡ W11 - D e (W6)

➡For this there must be a turgular region of the radius it has .

➡There are three forms in the limiting site near the brane area

________________________________________