Oriented straight lines and twistor correspondence

Details Oriented straight lines and twistor correspondence Oriented straight lines and twistor correspondence

2004-08-10

arxiv.org/abs/math/0408136v3

Geometriae Dedicata 112 (2005) 243--251.

Mathematics

Differential Geometry

8 pages, one figure. Final version, to appear in Geometriae Dedicata

Scientific paper

The tangent bundle to the $n$--dimensional sphere is the space of oriented
lines in $\R^{n+1}$. We characterise the smooth sections of $TS^n\to S^n$ which
correspond to points in $\R^{n+1}$ as gradients of eigenfunctions of the
Laplacian on $S^n$ with eigenvalue $n$. The special case of $n=6$ and its
connection with almost complex geometry is discussed.

Affiliated with

Also associated with

No associations

Rating

Oriented straight lines and twistor correspondence 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 Oriented straight lines and twistor correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oriented straight lines and twistor correspondence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689717