Deformations of noncompact projective manifolds

Ballas, Samuel A¹

¹Department of Mathematics, University of California Santa Barbara, South Hall, Room 6607, Santa Barbara, CA 93106, USA

Algebraic and Geometric Topology, Tome 14 (2014) no. 5, pp. 2595-2625

Résumé

In this paper, we demonstrate that the complete hyperbolic structures of various two-bridge knots and links cannot be deformed to inequivalent strictly convex projective structures. We also prove a complementary result showing that under certain rigidity hypotheses, branched covers of amphicheiral knots admit nontrivial, strictly convex deformations near their complete hyperbolic structure.

Détail

DOI : 10.2140/agt.2014.14.2595

Classification : 57M50, 57M60
Keywords: projective structures, two-bridge knots, rigidity

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