Nobuhiko Otoba

activity

20132018

most citedMetrics of constant scalar curvature on sphere bundles

4 citations · 6 across the 3 of their papers we have counts for

collaborators

4 papers

math.DG2018

Scalar curvature and the multiconformal class of a direct product Riemannian manifold

Nobuhiko Otoba, Saskia Roos

For a closed, connected direct product Riemannian manifold $(M, g) = (M_{1} \times \dots \times M_{l}, g_{1} \oplus \dots \oplus g_{l})$ , we define its multiconformal class $[[g]]$ as the…

math.DG2016

Bifurcation for the constant scalar curvature equation and harmonic Riemannian submersions

Nobuhiko Otoba, Jimmy Petean

We study bifurcation for the constant scalar curvature equation along a one-parameter family of Riemannian metrics on the total space of a harmonic Riemannian submersion. We provid…

math.DG2015★ 4 cited

Metrics of constant scalar curvature on sphere bundles

Nobuhiko Otoba, Jimmy Petean

Let $G / H$ be a Riemannian homogeneous space. For an orthogonal representation $ϕ$ of $H$ on the Euclidean space $R^{k + 1}$ , there corresponds the vector bundle $E=G\times_ϕ…

math.DG2013★ 2 cited

Constant scalar curvature metrics on Hirzebruch surfaces

Nobuhiko Otoba

We construct smooth Riemannian metrics with constant scalar curvature on each Hirzebruch surface. These metrics respect the complex structures, fiber bundle structures, and Lie gro…