b-Completion of pseudo-Hermitian manifolds

Details b-Completion of pseudo-Hermitian manifolds b-Completion of pseudo-Hermitian manifolds

May 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012cqgra..29i5007b&link_type=abstract

Classical and Quantum Gravity, Volume 29, Issue 9, pp. 095007 (2012).

Mathematics

Scientific paper

We study the interrelation among pseudo-Hermitian and Lorentzian geometry as prompted by the existence of the Fefferman metric. Specifically for any nondegenerate Cauchy–Riemann manifold M we build its b-boundary \dot{M}. This arises as a S1 quotient of the b-boundary of the (total space of the canonical circle bundle over M endowed with the) Fefferman metric. Points of \dot{M} are shown to be endpoints of b-incomplete curves. A class of inextensible integral curves of the Reeb vector on a pseudo-Einstein manifold is shown to have an endpoint on the b-boundary provided that the horizontal gradient of the pseudo-Hermitian scalar curvature satisfies an appropriate boundedness condition.
Dedicated to the memory of Stere Ianuş Romanian mathematician (deceased in 2010). S Ianuş had a life-long interest in general relativity theory (from a differential geometric viewpoint—starting with his PhD thesis [27] written under Ghe. Vrânceanu (deceased in 1979)) and CR geometry. Among his many contributions, S Ianuş authored the excellent monograph [28].

Affiliated with

Also associated with

No associations

Rating

b-Completion of pseudo-Hermitian manifolds 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 b-Completion of pseudo-Hermitian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and b-Completion of pseudo-Hermitian manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1551712