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math.DG2023
Non-compactness results for the spinorial Yamabe-type problems with non-smooth geometric data
Takeshi Isobe, Yannick Sire, Tian Xu
Let be an -dimensional closed spin manifold, with a fixed Riemannian metric and a fixed spin structure ; let be the spinor bun…
math.DG2023★ 1 cited
Solutions of Spinorial Yamabe-type Problems on : Perturbations and Applications
Takeshi Isobe, Tian Xu
This paper is part of a program to establish the existence theory for the conformally invariant Dirac equation \[ D_{\textit{g}}ψ=f(x)|ψ|_{\textit{g}}^{\frac2{m-1}}ψ\] on a closed…
math.DG2017★ 1 cited
Morse-Floer Theory for Super-quadratic Dirac-Geodesics
Takeshi Isobe, Ali Maalaoui
In this paper we present the full details of the construction of a Morse-Floer type homology related to the super-quadratic perturbation of the Dirac-geodesic model. This homology…