The Yamabe invariant of simply connected manifolds

Authors
Petean, J
Citation
J. Petean, The Yamabe invariant of simply connected manifolds, J REIN MATH, 523, 2000, pp. 225-231
Citations number
26
Categorie Soggetti
Mathematics
Journal title
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN journal
00754102 → ACNP
Volume
523
Year of publication
2000
Pages
225 - 231
Database
ISI
SICI code
0075-4102(20000630)523:<225:TYIOSC>2.0.ZU;2-C
Abstract
Let M be any simply connected smooth compact manifold of dimension IE great er than or equal to 5. We prove that the Yamabe invariant of M is non-negat ive. This is equivalent to say that the infimum, over the space of all Riem annian metrics on M, of the L-n/2 norm of the scalar curvature is zero.