… We show that for warped products on a 3-torus, there is almost rigidity of the Scalar Torus
Rigidity Theorem: for sequences of warped product metrics on a 3-torus satisfying the scalar …

… It is called a rigidity theorem because it is a theorem which forces a Riemannian … singly
warped product case we will not be able to show \(C^{0,\frac{1}{2}}\) convergence of the warping …

… rigidity problems occupy a central role in Riemannian geometry. The first examples of scalar
curvature rigidity are flat tori … pair the Dirac operator with an almost flat bundle. In both cases, …

… for the scalar torus rigidity theorem to the conformal case via … controlled sequence of flat tori
and satisfies the geometric … is either a doubly warped product or a singly warped product. In […

… We construct warped-product manifolds of almost … investigate the associated almost-rigidity
or stability problem, … flat convergence of almost nonnegative scalar curvature tori to an …

… The celebrated scalar torus rigidity theorem says that any … the stability of graph tori with
almost nonnegative scalar curvature … been proved for tori with singly and doubly warped product …

… stability for the torus rigidity. Namely, a sequence of Riemannian manifolds with almost non-…
the conformal has almost non-negative scalar curvature, then it is almost the solution to the …

… As for the almost rigidity of the previous result, we need to establish H C 1 , 2 -stability for …
Colding, allows us to provide a characterization of almost flat tori in terms of harmonic 1 -forms. …

… , Gromov [9] conjectured a stability of metrics with almost non-negative scalar curvature
on … Wang, Warped tori with almost non-negative scalar curvature, Geom. Dedicata 200 (2019) …

… naturally in questions of almost rigidity or when searching for … warping functions converge
in Lp but not pointwise almost … The tori Mj will converge since each torus in this sequence is …