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Dimpi Paul's user avatar
Dimpi Paul's user avatar
Dimpi Paul's user avatar
Dimpi Paul
  • Member for 1 year, 3 months
  • Last seen more than a month ago
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revised
Double disk bundle
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revised
Double disk bundle
added 91 characters in body
asked
Double disk bundle
awarded
 Custodian
reviewed
Approve
Space which is diffeomorphic to CP^2 # -CP^2
awarded
 Editor
revised
Space which is diffeomorphic to CP^2 # -CP^2
added 160 characters in body
asked
Space which is diffeomorphic to CP^2 # -CP^2
comment
For unit sphere bundle over sphere there exist a real vector bundle equipped with inner product structure?
@ Thomas Rot You mean only vector bundle with fiber S^1 or S^2 and whatever the base space this statement is true?
comment
For unit sphere bundle over sphere there exist a real vector bundle equipped with inner product structure?
@ Nicolast right exactly.
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 Student
comment
For unit sphere bundle over sphere there exist a real vector bundle equipped with inner product structure?
So, i am very curious to know that: this is true in general or with some restrictions? For a sphere bundle over sphere, we get an n-plane bundle which just an extension of given sphere bundle?
comment
For unit sphere bundle over sphere there exist a real vector bundle equipped with inner product structure?
@ David Actually i have seen in some paper that for the bundle say A: S^ 2 -> CP^3 -> S^4 , there exists a 3-plane bundle over S^4 say B, such that A is restriction of B on unit sphere.
comment
For unit sphere bundle over sphere there exist a real vector bundle equipped with inner product structure?
@Nicolast any vector bundle over compact Hausdroff base space admit inner product structure.
asked
For unit sphere bundle over sphere there exist a real vector bundle equipped with inner product structure?
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 Autobiographer