A strong rigidity theorem for a certain class of compact complex analytic surfaces

1985 ◽  
Vol 271 (1) ◽  
pp. 143-152 ◽  
Author(s):  
J�rgen Jost ◽  
Shing-Tung Yau
Keyword(s):  
Rigidity Theorem ◽  
Strong Rigidity

scholarly journals The strong rigidity theorem for non-Archimedean uniformization

1998 ◽  
Vol 50 (4) ◽  
pp. 537-555 ◽  
Author(s):  
Masa-Nori Ishida ◽  
Fumiharu Kato
Keyword(s):  
Rigidity Theorem ◽  
Strong Rigidity

Codimension bounds and rigidity of ancient mean curvature flows by the tangent flow at −∞

2021 ◽  
pp. 2050088
Author(s):  
Douglas Stryker ◽  
Ao Sun
Keyword(s):  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Rigidity Theorem ◽  
Rapid Convergence ◽  
Limiting Behavior ◽  
Strong Rigidity ◽  
Curve Shortening

Motivated by the limiting behavior of an explicit class of compact ancient curve shortening flows, by adapting the work of Colding–Minicozzi [11], we prove codimension bounds for ancient mean curvature flows by their tangent flow at [Formula: see text]. In the case of the [Formula: see text]-covered circle, we apply this bound to prove a strong rigidity theorem. Furthermore, we extend this paradigm by showing that under the assumption of sufficiently rapid convergence, a compact ancient mean curvature flow is identical to its tangent flow at [Formula: see text].

scholarly journals Profinite rigidity for twisted Alexander polynomials

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jun Ueki
Keyword(s):  
Rigidity Theorem ◽  
Homology Groups ◽  
Alexander Polynomials ◽  
Twisted Homology ◽  
Hyperbolic Volumes

AbstractWe formulate and prove a profinite rigidity theorem for the twisted Alexander polynomials up to several types of finite ambiguity. We also establish torsion growth formulas of the twisted homology groups in a {{\mathbb{Z}}}-cover of a 3-manifold with use of Mahler measures. We examine several examples associated to Riley’s parabolic representations of two-bridge knot groups and give a remark on hyperbolic volumes.

scholarly journals Schreir graphs: Transitivity and coverings

2016 ◽  
Vol 26 (01) ◽  
pp. 69-93 ◽  
Author(s):  
Paul-Henry Leemann
Keyword(s):  
Hyperbolic Manifolds ◽  
Rigidity Theorem ◽  
Partial Answer ◽  
Schreier Graphs

We give a characterization of isomorphisms between Schreier graphs in terms of the groups, subgroups and generating systems. This characterization may be thought as a graph analog of Mostow’s rigidity theorem for hyperbolic manifolds. This allows us to give a transitivity criterion for Schreier graphs. Finally, we show that Tarski monsters satisfy a strong simplicity criterion. This gives a partial answer to a question of Benjamini and Duminil-Copin.

Sign in / Sign up

Export Citation Format

Share Document