Cosmology, cohomology, and compactification

Details Cosmology, cohomology, and compactification Cosmology, cohomology, and compactification

May 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..apr.d8001t&link_type=abstract

American Physical Society, April Meeting, 2004, May 1-4, 2004, Denver, Colorado April 2004, MEETING ID: APR04, abstract #D8.001

Mathematics

Logic

Scientific paper

Ashtekar and Samuel have shown that Bianchi cosmological models with compact spatial sections must be of Bianchi class A. Motivated by general results on the symmetry reduction of variational principles, we show how to extend the Ashtekar-Samuel results to the setting of weakly locally homogeneous spaces as defined, e.g., by Singer and Thurston. More precisely, it is shown that any m-dimensional homogeneous space G/K admitting a G-invariant volume form admits a compact discrete quotient only if the Lie algebra cohomology of G relative to K is non-vanishing at degree m.

Affiliated with

Also associated with

No associations

Rating

Cosmology, cohomology, and compactification 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 Cosmology, cohomology, and compactification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cosmology, cohomology, and compactification will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1180807