The invariant sphere theorem

2020 ◽  
pp. 50-57
Author(s):  
Michael Field
Keyword(s):  
Sphere Theorem ◽  
Invariant Sphere

scholarly journals A conformally invariant sphere theorem in four dimensions

2003 ◽  
Vol 98 (1) ◽  
pp. 105-143 ◽  
Author(s):  
Sun-Yung A. Chang ◽  
Matthew J. Gursky ◽  
Paul C. Yang
Keyword(s):  
Sphere Theorem ◽  
Four Dimensions ◽  
Conformally Invariant ◽  
Invariant Sphere

Conjugate Radius and Sphere Theorem

1999 ◽  
Vol 42 (2) ◽  
pp. 214-220 ◽  
Author(s):  
Seong-Hun Paeng ◽  
Jong-Gug Yun
Keyword(s):  
Lower Bound ◽  
Injectivity Radius ◽  
Sphere Theorem ◽  
Standard Sphere

AbstractBessa [Be] proved that for given n and i0, there exists an depending on n, i0 such that if M admits a metric g satisfying , then M is diffeomorphic to the standard sphere. In this note, we improve this result by replacing a lower bound on the injectivity radius with a lower bound of the conjugate radius.

Sign in / Sign up

Export Citation Format

Share Document