13 citations · 35 across the 12 of their papers we have counts for
12 papers
Yamabe Invariants and the -monopole Equations
Masashi Ishida, Shinichiroh Matsuo, Nobuhiro Nakamura
We compute the Yamabe invariants for a new infinite class of closed -dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the -…
Harnack Estimates for Nonlinear Heat Equations with Potentials in Geometric Flows
Hongxin Guo, Masashi Ishida
Let be a closed Riemannian manifold with a family of Riemannian metrics evolving by geometric flow , where is a family…
Harnack Estimates for Nonlinear Backward Heat Equations in Geometric Flows
Hongxin Guo, Masashi Ishida
Let be a closed Riemannian manifold with a family of Riemannian metrics evolving by a geometric flow , where is a famil…
Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow
R. Inanc Baykur, Masashi Ishida
In this article, we produce infinite families of 4-manifolds with positive first betti numbers and meeting certain conditions on their homotopy and smooth types so as to conclude t…
On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with
Masashi Ishida, Rares Rasdeaconu, Ioana Suvaina
We find an obstruction to the existence of non-singular solutions to the normalized Ricci flow on four-manifolds with . By using this obstruction, we study the relationship…
Smooth Structures and Normalized Ricci Flows on Non-Simply Connected Four-Manifolds
Masashi Ishida, Ioana Suvaina
A solution to the normalized Ricci flow is called non-singular if it exists for all time with uniformly bounded sectional curvature. By using the techniques developed by the presen…