On Zeeman's tolerance stability conjecture

1971 ◽  
pp. 209-219 ◽  
Author(s):  
Floris Takens
Keyword(s):  
Stability Conjecture

scholarly journals On Gromov’s conjecture for totally non-spin manifolds

2016 ◽  
Vol 08 (04) ◽  
pp. 571-587
Author(s):  
Dmitry Bolotov ◽  
Alexander Dranishnikov
Keyword(s):  
Fundamental Group ◽  
Scalar Curvature ◽  
Universal Covering ◽  
Positive Scalar Curvature ◽  
Fundamental Groups ◽  
Closed Formula ◽  
Duality Group ◽  
Positive Scalar ◽  
Spin Manifolds ◽  
Stability Conjecture

Gromov’s conjecture states that for a closed [Formula: see text]-manifold [Formula: see text] with positive scalar curvature, the macroscopic dimension of its universal covering [Formula: see text] satisfies the inequality [Formula: see text] [9]. We prove that for totally non-spin [Formula: see text]-manifolds, the inequality [Formula: see text] implies the inequality [Formula: see text]. This implication together with the main result of [6] allows us to prove Gromov’s conjecture for totally non-spin [Formula: see text]-manifolds whose fundamental group is a virtual duality group with [Formula: see text]. In the case of virtually abelian groups, we reduce Gromov’s conjecture for totally non-spin manifolds to the problem whether [Formula: see text]. This problem can be further reduced to the [Formula: see text]-stability conjecture for manifolds with free abelian fundamental groups.

scholarly journals Instabilities of near-extremal smeared branes and the correlated stability conjecture

2005 ◽  
Vol 2005 (10) ◽  
pp. 045-045 ◽  
Author(s):  
Troels Harmark ◽  
Vasilis Niarchos ◽  
Niels A Obers
Keyword(s):  
Stability Conjecture

Testing a stability conjecture for Cauchy horizons

1993 ◽  
Vol 47 (10) ◽  
pp. 4322-4327 ◽  
Author(s):  
T. M. Helliwell ◽  
D. A. Konkowski
Keyword(s):  
Stability Conjecture

scholarly journals About a stability conjecture concerning unilateral contact with friction

2009 ◽  
Vol 59 (1-2) ◽  
pp. 73-94 ◽  
Author(s):  
Elaine Pratt ◽  
Alain Léger ◽  
Michel Jean
Keyword(s):  
Unilateral Contact ◽  
Stability Conjecture
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