Open AccessThe diffeomorphism type of certain 𝑆³-bundles over 𝑆⁴
Author(s) -
Marc Sanchez,
Frederick Wilhelm
Publication year - 2001
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-01-06380-8
Subject(s) - algorithm , computer science , artificial intelligence , annotation
In this note we show that the unit tangent bundle of S 4 S^{4} is diffeomorphic to the total space of a certain principal S 3 S^{3} -bundle over S 4 S^{4} , solving a problem of James and Whitehead.