An infinite family of hyperbolic 3-manifolds without tight projectively Anosov flows

2024/11/13 by Nonino, Isacco
#Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2411.08716

Abstract

In this paper we find the first infinite family of hyperbolic 3-manifolds which admit tight contact structures but do not have any tight projectively Anosov flow. These manifolds are obtained as rational surgeries on the figure eight knot.

Related

• Anosov flows on Dehn surgeries on the figure-eight knot
• Tight contact structures on fibered hyperbolic 3-manifolds
• Goodman surgery and projectively Anosov flows
• Exceptional surgeries in 3-manifolds
• Obstructing Anosov flows on cusped 3-manifolds