Does there exist a compact hyperbolic manifold (i.e.,all sectional curvatures are -1) with the same volume as the round-sphere of the same dimension? Does such a manifold exist for any dimension greater than four?
Hyperbolic manifolds
3
$\begingroup$
differential-geometry
-
2Do you mean the unit sphere, the sphere of constant curvature 1? – 2011-07-13