GRADIENT FLOWS AND DOUBLE BRACKET EQUATIONS Tin
... where x0 , z ∈ p are given. Indeed, the study of Φ goes back to Hermann and TakeuchiKobayashi [V, p.214]. Bott [B] and Hunt (for compact Lie groups) [H] have used Φ. Critical points and the corresponding Hessians of Φ have been examined and the study implies some of the results in [CD] with respect ...
... where x0 , z ∈ p are given. Indeed, the study of Φ goes back to Hermann and TakeuchiKobayashi [V, p.214]. Bott [B] and Hunt (for compact Lie groups) [H] have used Φ. Critical points and the corresponding Hessians of Φ have been examined and the study implies some of the results in [CD] with respect ...
Lattices in Lie groups
... where a is a diagonal matrix a = (a1 , a2 , · · · , an ) with ai positive, such ai that ai+1 < √23 , and where u is an upper triangular matrix with 1’s on the diagonal and whose entries above the diagonal are of the form (uij : i < j ≤ n) with | uij |≤ 21 . Proof. We may view elements of SLn (R)/SLn ...
... where a is a diagonal matrix a = (a1 , a2 , · · · , an ) with ai positive, such ai that ai+1 < √23 , and where u is an upper triangular matrix with 1’s on the diagonal and whose entries above the diagonal are of the form (uij : i < j ≤ n) with | uij |≤ 21 . Proof. We may view elements of SLn (R)/SLn ...
