Rigidity theorem for compact Bach-flat manifolds with positive constant σ2

2021 ◽  
Vol 79 ◽  
pp. 101818
Author(s):  
Hui-Ya He ◽  
Hai-Ping Fu
Keyword(s):  
Positive Constant ◽  
Rigidity Theorem ◽  
Bach Flat ◽  
Flat Manifolds

Some remarks on Bach-flat manifolds with positive constant scalar curvature

2019 ◽  
Vol 155 (2) ◽  
pp. 187-196 ◽  
Author(s):  
Hai-Ping Fu ◽  
Gao-Bo Xu ◽  
Yong-Qian Tao
Keyword(s):  
Scalar Curvature ◽  
Positive Constant ◽  
Constant Scalar Curvature ◽  
Bach Flat ◽  
Flat Manifolds

scholarly journals Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension

2019 ◽  
Vol 60 (1) ◽  
pp. 013511 ◽  
Author(s):  
E. Calviño-Louzao ◽  
E. García-Río ◽  
P. Gilkey ◽  
I. Gutiérrez-Rodríguez ◽  
R. Vázquez-Lorenzo
Keyword(s):  
Bach Flat ◽  
Flat Manifolds

scholarly journals Bochner-Kähler and Bach flat manifolds

2019 ◽  
Vol 113 (5) ◽  
pp. 551-560
Author(s):  
Amalendu Ghosh ◽  
Ramesh Sharma
Keyword(s):  
Bach Flat ◽  
Flat Manifolds

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 Crystallographic groups and flat manifolds from surface braid groups

2020 ◽  
pp. 107560
Author(s):  
Daciberg Lima Gonçalves ◽  
John Guaschi ◽  
Oscar Ocampo ◽  
Carolina de Miranda e Pereiro
Keyword(s):  
Braid Groups ◽  
Crystallographic Groups ◽  
Flat Manifolds
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