Research profile
Works on Kähler–Ricci flow, Kähler geometry and scalar curvature.
NP-RC-4059500000-0002-9442-5522
Elsewhere ORCIDarXiv listing
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How many of these papers carry each topic, among the topics most particular to them. Tags are assigned automatically, so they point to a subject rather than judge the work.
FlowsPerelman's toolkitGeometry & analysis
| Topic | 2016 | 2018 |
|---|---|---|
| All papers | 2 | 1 |
| Kähler–Ricci flow | 2 | 1 |
| Kähler geometry | 2 | 1 |
| Scalar curvature | 1 | 1 |
| Ricci flow | 2 | 1 |
| Singularities | 1 |
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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.
In this paper, we prove the Miyaoka-Yau inequality for compact Kähler manifolds with semi-positive canonical bundle. The key point of the proof is the estimate for the -norm of the scalar curvature along the Kähler-Ricci flow.
Recently, Wu-Yau and Tosatti-Yang established the connection between the negativity of holomorphic sectional curvatures and the positivity of canonical bundles for compact Kähler manifolds. In this short note, we give anothe proof of their theorems by using the Kähler-Ricci flow.
We investigate the scalar curvature behavior along the normalized conical Kähler-Ricci flow , which is the conic version of the normalized Kähler-Ricci flow, with finite maximal existence time . We prove that the scalar curvature of is bounded from above by under the existence of a contraction associated to the limiting cohomology class . This generalizes Z. Zhang's work to the conic case.
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NP-RC-405950 is Ryosuke Nomura's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2016 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. How it is put together.
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