4 papers
Miyaoka-Yau inequality for compact Kähler manifolds with semi-positive canonical bundle
Ryosuke Nomura
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 o…
Schwarz lemma for conical Kähler metrics with general cone angles
Ryosuke Nomura
The Schwarz--Pick lemma is a fundamental result in complex analysis. It is well-known that Yau generalized it to the higher dimensional manifolds by applying his maximum principle…
Kähler manifolds with negative holomorphic sectional curvature, Kähler-Ricci flow approach
Ryosuke Nomura
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 m…
Blow-up rate of the scalar curvature along the conical Kähler-Ricci flow with finite time singularities
Ryosuke Nomura
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 maxim…