Kähler manifolds with negative holomorphic sectional curvature, kähler-ricci flow approach

Ryosuke Nomura

doi:10.1093/imrn/rnx075

Kähler manifolds with negative holomorphic sectional curvature, kähler-ricci flow approach

Ryosuke Nomura

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 another proof of their theorems by using the Kähler-Ricci flow.

Original language	English
Pages (from-to)	6611-6616
Number of pages	6
Journal	International Mathematics Research Notices
Volume	2018
Issue number	21
DOIs	https://doi.org/10.1093/imrn/rnx075
Publication status	Published - 2018 Nov 5
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1093/imrn/rnx075

Cite this

@article{1a8b9562c5924be091ad4b8afd7b8c39,

title = "K{\"a}hler manifolds with negative holomorphic sectional curvature, k{\"a}hler-ricci flow approach",

abstract = "Recently, Wu-Yau and Tosatti-Yang established the connection between the negativity of holomorphic sectional curvatures and the positivity of canonical bundles for compact K{\"a}hler manifolds. In this short note, we give another proof of their theorems by using the K{\"a}hler-Ricci flow.",

author = "Ryosuke Nomura",

year = "2018",

month = nov,

day = "5",

doi = "10.1093/imrn/rnx075",

language = "English",

volume = "2018",

pages = "6611--6616",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "21",

}

TY - JOUR

T1 - Kähler manifolds with negative holomorphic sectional curvature, kähler-ricci flow approach

AU - Nomura, Ryosuke

PY - 2018/11/5

Y1 - 2018/11/5

N2 - 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 another proof of their theorems by using the Kähler-Ricci flow.

AB - 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 another proof of their theorems by using the Kähler-Ricci flow.

UR - http://www.scopus.com/inward/record.url?scp=85057384511&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057384511&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnx075

DO - 10.1093/imrn/rnx075

M3 - Article

AN - SCOPUS:85057384511

VL - 2018

SP - 6611

EP - 6616

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 21

ER -

Kähler manifolds with negative holomorphic sectional curvature, kähler-ricci flow approach

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this