An alternative proof of a rigidity theorem for the sharp Sobolev constant

Details An alternative proof of a rigidity theorem for the sharp Sobolev constant An alternative proof of a rigidity theorem for the sharp Sobolev constant

2010-02-03

arxiv.org/abs/1002.0756v2

Mathematics

Differential Geometry

11 pages. Corrected typos. Added a new result concerning rigidity of manifolds with asymptotically non-negative curvature

Scientific paper

We provide a somewhat geometric proof of a rigidity theorem by M. Ledoux and
C. Xia concerning complete manifolds with non-negative Ricci curvature
supporting an Euclidean-type Sobolev inequality with (almost) best Sobolev
constant. Using the same technique we also generalize Ledoux-Xia result to
complete manifolds with asymptotically non-negative curvature.

Affiliated with

Also associated with

No associations

Rating

An alternative proof of a rigidity theorem for the sharp Sobolev constant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An alternative proof of a rigidity theorem for the sharp Sobolev constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An alternative proof of a rigidity theorem for the sharp Sobolev constant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602216