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math.DG2004
The curvature of a Hessian metric
Burt Totaro
Following P. M. H. Wilson's paper on sectional curvatures of Kahler moduli, we consider a natural Riemannian metric on a hypersurface f=1 in a real vector space, defined using the…
math.DG2002
Cheeger manifolds and the classification of biquotients
Burt Totaro
A closed manifold is called a biquotient if it is diffeomorphic to K\G/H for some compact Lie group G with closed subgroups K and H such that K acts freely on G/H. Biquotients are…
math.DG2002★ 1 cited
Curvature, diameter, and quotient manifolds
Burt Totaro
Gromov showed that there is an upper bound on the Betti numbers of all closed Riemannian n-manifolds of nonnegative sectional curvature. Grove asked whether such manifolds (if simp…