Prasad, G.: Strong rigidity of Q-rank 1 lattices. Invent. Math. 21, 255--286 (1973) Home/Search Document Not in Database Summary Related Articles Check |
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Scalar Curvature And The Existence Of Geometric Structures On.. - Anderson (1999) (Correct)
....than implies that v( g) 1=3 Z M (s g ) 2 dV g v(g o ) 1=3 Z (s go ) 2 dV go = M) 2 ; which contradicts (0.4) Finally, the arguments proving (2.11) in Remark 2. 2 also prove that = and g o = g in this situation, by means of the Mostow Prasad rigidity theorem [27]. This completes the proof. Remark 2.6. As in Remark 2.2, one sees that inf I = inf S 2 = j (M)j is realized by the union of the complete constant negative curvature metrics g o on M: Apriori however, as before, it may be possible that( g o ) is not unique; this will be discussed ....
G. Prasad, Strong rigidity of Q-rank 1 lattices, Inventiones Math., 21, (1973), 255-286.
The Simplest Hyperbolic Knots - Callahan, DEAN, WEEKS (Correct)
....Theorem. The complement of a knot in S 3 admits a hyperbolic structure unless it is a torus or satellite knot. By a hyperbolic structure we mean a complete Riemannian metric of constant sectional curvature 1. Such a metric is uniquely determined by the topology of the knot complement [Mos73, Pra73] and hence is an invariant of the knot itself. In fact, by work of Gromov, Jorgensen, and Thurston, the set of volumes of hyperbolic 3 manifolds is well ordered. Hyperbolic volume is an e ective invariant for distinguishing knots. It distinguishes nearly all hyperbolic knots with up to 10 ....
G. Prasad, Strong rigidity of Q-rank 1 lattices, Invent. Math. 21 (1973), 255-286.
Mostow-Margulis Rigidity With Locally Compact Targets - Furman (Correct)
....author was partially supported by NSF grant DMS 9803607 and GIF grant G 454 213.06 95. c fl0000 American Mathematical Society 0000 0000 00 1.00 . 25 per page 2 ALEX FURMAN Originally, Mostow proved this remarkable theorem for uniform lattices [Mo2] Mostow s approach was extended by Prasad [Pr] to encompass non uniform lattices in rank one groups. Finally, the remaining case of non uniform (irreducible) lattices in higher rank (semi)simple Lie groups was obtained as one of the corollaries of Margulis s superrigidity [Ma1] Motivated by the strong rigidity theorem above, we consider the ....
G. Prasad, Strong rigidity of Q-rank 1 lattices, Invent. Math. 21 (1973), 255--289.
On Thurston's ending lamination conjecture - Minsky (1992) (Correct)
....is topologically (in fact quasi conformally) conjugate to the action of a Fuchsian group, which is fairly well understood. Some conjectures. One possible type of answer to the classification question is a rigidity theorem. For representations with finite volume quotients, MostowPrasad rigidity [Mo, Pr] says that the abstract group is itself a sufficient invariant to determine the representation up to conjugacy. Sullivan rigidity [Su] states that a quasi conformal homeomorphism of b C conjugating the action of two finitely generated groups must be a Mobius transformation, if it is known to be ....
G. Prasad. Strong rigidity of Q-rank 1 lattices. Invent. Math. 21(1973), 255--286.
DOI: 10.1007/s00208-004-0543-0 Math. Ann. 330, 127--150.. - Brent Everitt Received (Correct)
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Prasad, G.: Strong rigidity of Q-rank 1 lattices. Invent. Math. 21, 255--286 (1973)
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