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math.DG2008★ 4 cited
Homogeneous Metrics with nonnegative curvature
Lorenz Schwachhofer, Kristopher Tapp
Given compact Lie groups H\subset G, we study the space of G-invariant metrics on G/H with nonnegative sectional curvature. For an intermediate subgroup K between H and G, we deriv…
math.DG2007
A remark on left invariant metrics on compact Lie groups
Lorenz J. Schwachhoefer
We show that a left invariant metric on a compact Lie group which is obtained by stretching a biinvariant metric in the direction of a subalgebra $\h$ of $\g$ always has some n…
math.DG2003★ 4 cited
Metrics of positive Ricci curvature on quotient spaces
Lorenz Schwachhoefer, Wilderich Tuschmann
We show that any closed biquotient with finite fundamental group admits metrics of positive Ricci curvature. Also, let M be a closed manifold on which a compact Lie group G acts wi…