Connected sums with HP^n or CaP^2 and the Yamabe invariant

Details Connected sums with HP^n or CaP^2 and the Yamabe invariant Connected sums with HP^n or CaP^2 and the Yamabe invariant

2007-10-12

arxiv.org/abs/0710.2379v2

Mathematics

Differential Geometry

Scientific paper

Let $M$ be a smooth closed $4k$-manifold whose Yamabe invariant $Y(M)$ is
nonpositive. We show that $$Y(M\sharp l \Bbb HP^k\sharp m \bar{\Bbb
HP^k})=Y(M),$$ where $l,m$ are nonnegative integers, and $\Bbb HP^k$ is the
quaternionic projective space. When $k=4$, we also have $$Y(M\sharp l
CaP^2\sharp m \bar{CaP^2})=Y(M),$$ where $CaP^2$ is the Cayley plane.

Affiliated with

Also associated with

No associations

Rating

Connected sums with HP^n or CaP^2 and the Yamabe invariant 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 Connected sums with HP^n or CaP^2 and the Yamabe invariant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Connected sums with HP^n or CaP^2 and the Yamabe invariant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402705